113624424 has 128 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 35985600.

The previous prime is 113624419. The next prime is 113624443. The reversal of 113624424 is 424426311.

It is a happy number.

113624424 is a `hidden beast` number, since 1 + 13 + 624 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475297 + ... + 475535.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2^113624424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113624424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

113624424 is an abundant number, since it is smaller than the sum of its proper divisors (218151576).

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

113624424 is a wasteful number, since it uses less digits than its factorization.

113624424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 113624424 is about 10659.4757844840. The cubic root of 113624424 is about 484.3476886106.

The spelling of 113624424 in words is "one hundred thirteen million, six hundred twenty-four thousand, four hundred twenty-four".