112535460 has 96 divisors (see below), whose sum is σ = 351859200. Its totient is φ = 29859840.

The previous prime is 112535441. The next prime is 112535471. The reversal of 112535460 is 64535211.

112535460 is a `hidden beast` number, since 112 + 5 + 3 + 546 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145956 + ... + 146724.

It is an arithmetic number, because the mean of its divisors is an integer number (3665200).

Almost surely, 2^112535460 is an apocalyptic number.

112535460 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 112535460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175929600).

112535460 is an abundant number, since it is smaller than the sum of its proper divisors (239323740).

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

112535460 is a wasteful number, since it uses less digits than its factorization.

112535460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 112535460 is about 10608.2731865276. The cubic root of 112535460 is about 482.7954073504.

It can be divided in two parts, 1125 and 35460, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 112535460 in words is "one hundred twelve million, five hundred thirty-five thousand, four hundred sixty".