113609664 has 168 divisors, whose sum is σ = 392013440. Its totient is φ = 30730752.

The previous prime is 113609609. The next prime is 113609693. The reversal of 113609664 is 466906311.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75867 + ... + 77349.

Almost surely, 2^113609664 is an apocalyptic number.

113609664 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 113609664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196006720).

113609664 is an abundant number, since it is smaller than the sum of its proper divisors (278403776).

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

113609664 is a wasteful number, since it uses less digits than its factorization.

113609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 113609664 is about 10658.7834202596. The cubic root of 113609664 is about 484.3267151813.

The spelling of 113609664 in words is "one hundred thirteen million, six hundred nine thousand, six hundred sixty-four".