113370624 has 160 divisors (see below), whose sum is σ = 343728000. Its totient is φ = 36882432.

The previous prime is 113370623. The next prime is 113370629. The reversal of 113370624 is 426073311.

113370624 is a `hidden beast` number, since 1 + 1 + 3 + 37 + 0 + 624 = 666.

It is a super-3 number, since 3×113370624³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113370623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815547 + ... + 815685.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^113370624 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 113370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

113370624 is an abundant number, since it is smaller than the sum of its proper divisors (230357376).

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

113370624 is an equidigital number, since it uses as much as digits as its factorization.

113370624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 113370624 is about 10647.5642284985. The cubic root of 113370624 is about 483.9867947129.

The spelling of 113370624 in words is "one hundred thirteen million, three hundred seventy thousand, six hundred twenty-four".