113724864 has 224 divisors, whose sum is σ = 378439680. Its totient is φ = 33177600.

The previous prime is 113724847. The next prime is 113724869. The reversal of 113724864 is 468427311.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32256) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113724869) by changing a digit.

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, 589152 + ... + 589344.

Almost surely, 2^113724864 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 113724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189219840).

113724864 is an abundant number, since it is smaller than the sum of its proper divisors (264714816).

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

113724864 is a wasteful number, since it uses less digits than its factorization.

113724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 113724864 is about 10664.1860448888. The cubic root of 113724864 is about 484.4903620278.

The spelling of 113724864 in words is "one hundred thirteen million, seven hundred twenty-four thousand, eight hundred sixty-four".