112855624 has 96 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 45360000.

The previous prime is 112855621. The next prime is 112855627. The reversal of 112855624 is 426558211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112855621) and next prime (112855627).

It is a self number, because there is not a number n which added to its sum of digits gives 112855624.

It is not an unprimeable number, because it can be changed into a prime (112855621) 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 23 ways as a sum of consecutive naturals, for example, 449499 + ... + 449749.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^112855624 is an apocalyptic number.

112855624 is a gapful number since it is divisible by the number (14) 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 112855624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

112855624 is an abundant number, since it is smaller than the sum of its proper divisors (149143736).

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

112855624 is a wasteful number, since it uses less digits than its factorization.

112855624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 112855624 is about 10623.3527664293. The cubic root of 112855624 is about 483.2528256977.

The spelling of 112855624 in words is "one hundred twelve million, eight hundred fifty-five thousand, six hundred twenty-four".