112624320 has 224 divisors, whose sum is σ = 387998208. Its totient is φ = 27574272.

The previous prime is 112624319. The next prime is 112624321. The reversal of 112624320 is 23426211.

It is an interprime number because it is at equal distance from previous prime (112624319) and next prime (112624321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112624321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093389 + ... + 1093491.

Almost surely, 2^112624320 is an apocalyptic number.

112624320 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 112624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193999104).

112624320 is an abundant number, since it is smaller than the sum of its proper divisors (275373888).

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

112624320 is a wasteful number, since it uses less digits than its factorization.

112624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 112624320 is about 10612.4606006336. The cubic root of 112624320 is about 482.9224485307.

The spelling of 112624320 in words is "one hundred twelve million, six hundred twenty-four thousand, three hundred twenty".