1040607360 has 288 divisors, whose sum is σ = 3894660900. Its totient is φ = 255909888.

The previous prime is 1040607329. The next prime is 1040607361. The reversal of 1040607360 is 637060401.

1040607360 is a `hidden beast` number, since 10 + 40 + 607 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 95413824 + 945193536 = 9768^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1040607361) 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 35 ways as a sum of consecutive naturals, for example, 972906 + ... + 973974.

Almost surely, 2^1040607360 is an apocalyptic number.

1040607360 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 1040607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947330450).

1040607360 is an abundant number, since it is smaller than the sum of its proper divisors (2854053540).

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

1040607360 is a wasteful number, since it uses less digits than its factorization.

1040607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1040607360 is about 32258.4463358048. The cubic root of 1040607360 is about 1013.3565938028.

Adding to 1040607360 its reverse (637060401), we get a palindrome (1677667761).

It can be divided in two parts, 1040 and 607360, that added together give a square (608400 = 780²).

The spelling of 1040607360 in words is "one billion, forty million, six hundred seven thousand, three hundred sixty".