113597640 has 384 divisors, whose sum is σ = 440294400. Its totient is φ = 26127360.

The previous prime is 113597639. The next prime is 113597647. The reversal of 113597640 is 46795311.

113597640 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 9 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113597595 and 113597604.

It is not an unprimeable number, because it can be changed into a prime (113597647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3664425 + ... + 3664455.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^113597640 is an apocalyptic number.

113597640 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 113597640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

113597640 is an abundant number, since it is smaller than the sum of its proper divisors (326696760).

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

113597640 is a wasteful number, since it uses less digits than its factorization.

113597640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 113597640 is about 10658.2193634772. The cubic root of 113597640 is about 484.3096281670.

The spelling of 113597640 in words is "one hundred thirteen million, five hundred ninety-seven thousand, six hundred forty".