112657536 has 96 divisors (see below), whose sum is σ = 341312400. Its totient is φ = 35569152.

The previous prime is 112657513. The next prime is 112657537. The reversal of 112657536 is 635756211.

112657536 is a `hidden beast` number, since 112 + 6 + 5 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112657536.

It is not an unprimeable number, because it can be changed into a prime (112657537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19315 + ... + 24461.

Almost surely, 2^112657536 is an apocalyptic number.

112657536 is a gapful number since it is divisible by the number (16) 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 112657536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170656200).

112657536 is an abundant number, since it is smaller than the sum of its proper divisors (228654864).

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

112657536 is a wasteful number, since it uses less digits than its factorization.

112657536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5171 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 112657536 is about 10614.0254380701. The cubic root of 112657536 is about 482.9699195546.

The spelling of 112657536 in words is "one hundred twelve million, six hundred fifty-seven thousand, five hundred thirty-six".