1129960 has 64 divisors (see below), whose sum is σ = 2857680. Its totient is φ = 399360.

The previous prime is 1129957. The next prime is 1129963. The reversal of 1129960 is 699211.

It is an interprime number because it is at equal distance from previous prime (1129957) and next prime (1129963).

It can be written as a sum of positive squares in 8 ways, for example, as 133956 + 996004 = 366^2 + 998^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21294 + ... + 21346.

2^1129960 is an apocalyptic number.

1129960 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 1129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428840).

1129960 is an abundant number, since it is smaller than the sum of its proper divisors (1727720).

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

1129960 is a wasteful number, since it uses less digits than its factorization.

1129960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 1129960 is about 1062.9957666896. The cubic root of 1129960 is about 104.1568147127.

The spelling of 1129960 in words is "one million, one hundred twenty-nine thousand, nine hundred sixty".