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1130640 = 24357673

1130640 has 80 divisors (see below), whose sum is σ = 4011648. Its totient is φ = 258048.

The previous prime is 1130639. The next prime is 1130641. The reversal of 1130640 is 460311.

It is an interprime number because it is at equal distance from previous prime (1130639) and next prime (1130641).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1130641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344 + ... + 2016.

21130640 is an apocalyptic number.

1130640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005824).

1130640 is an abundant number, since it is smaller than the sum of its proper divisors (2881008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130640 is a wasteful number, since it uses less digits than its factorization.

1130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1130640 is about 1063.3155693396. The cubic root of 1130640 is about 104.1777040749.

Adding to 1130640 its reverse (460311), we get a palindrome (1590951).

It can be divided in two parts, 1130 and 640, that added together give a triangular number (1770 = T59).

The spelling of 1130640 in words is "one million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 673 840 1346 1680 2019 2692 3365 4038 4711 5384 6730 8076 9422 10095 10768 13460 14133 16152 18844 20190 23555 26920 28266 32304 37688 40380 47110 53840 56532 70665 75376 80760 94220 113064 141330 161520 188440 226128 282660 376880 565320 1130640