112621824 has 108 divisors (see below), whose sum is σ = 371157696. Its totient is φ = 32173056.

The previous prime is 112621811. The next prime is 112621837. The reversal of 112621824 is 428126211.

112621824 is a `hidden beast` number, since 1 + 12 + 621 + 8 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (112621811) and next prime (112621837).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12637 + ... + 19619.

Almost surely, 2^112621824 is an apocalyptic number.

112621824 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 112621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185578848).

112621824 is an abundant number, since it is smaller than the sum of its proper divisors (258535872).

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

112621824 is an equidigital number, since it uses as much as digits as its factorization.

112621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 6995 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 112621824 is about 10612.3430023723. The cubic root of 112621824 is about 482.9188809669.

The spelling of 112621824 in words is "one hundred twelve million, six hundred twenty-one thousand, eight hundred twenty-four".