112624864 has 144 divisors (see below), whose sum is σ = 271479600. Its totient is φ = 45731840.

The previous prime is 112624861. The next prime is 112624873. The reversal of 112624864 is 468426211.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112624861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908867 + ... + 1908925.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^112624864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135739800).

112624864 is an abundant number, since it is smaller than the sum of its proper divisors (158854736).

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

112624864 is a wasteful number, since it uses less digits than its factorization.

112624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 112624864 is about 10612.4862308509. The cubic root of 112624864 is about 482.9232260697.

The spelling of 112624864 in words is "one hundred twelve million, six hundred twenty-four thousand, eight hundred sixty-four".