112624256 has 32 divisors (see below), whose sum is σ = 225893280. Its totient is φ = 55929600.

The previous prime is 112624243. The next prime is 112624273. The reversal of 112624256 is 652426211.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16415 + ... + 22241.

It is an arithmetic number, because the mean of its divisors is an integer number (7059165).

Almost surely, 2^112624256 is an apocalyptic number.

112624256 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 112624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112946640).

112624256 is an abundant number, since it is smaller than the sum of its proper divisors (113269024).

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

112624256 is an equidigital number, since it uses as much as digits as its factorization.

112624256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5980 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 112624256 is about 10612.4575853098. The cubic root of 112624256 is about 482.9223570554.

The spelling of 112624256 in words is "one hundred twelve million, six hundred twenty-four thousand, two hundred fifty-six".