112624020 has 120 divisors (see below), whose sum is σ = 372002400. Its totient is φ = 28444608.

The previous prime is 112624013. The next prime is 112624033. The reversal of 112624020 is 20426211.

112624020 is a `hidden beast` number, since 1 + 1 + 262 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112623984 and 112624002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28951 + ... + 32609.

It is an arithmetic number, because the mean of its divisors is an integer number (3100020).

Almost surely, 2^112624020 is an apocalyptic number.

112624020 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 112624020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186001200).

112624020 is an abundant number, since it is smaller than the sum of its proper divisors (259378380).

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

112624020 is a wasteful number, since it uses less digits than its factorization.

112624020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112624020 is about 10612.4464662961. The cubic root of 112624020 is about 482.9220197398.

The spelling of 112624020 in words is "one hundred twelve million, six hundred twenty-four thousand, twenty".