113933664 has 72 divisors (see below), whose sum is σ = 348933312. Its totient is φ = 35055360.

The previous prime is 113933653. The next prime is 113933681. The reversal of 113933664 is 466339311.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11472 + ... + 18959.

It is an arithmetic number, because the mean of its divisors is an integer number (4846296).

Almost surely, 2^113933664 is an apocalyptic number.

It is an amenable number.

113933664 is an abundant number, since it is smaller than the sum of its proper divisors (234999648).

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

113933664 is a wasteful number, since it uses less digits than its factorization.

113933664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30460 (or 30449 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 113933664 is about 10673.9713321706. The cubic root of 113933664 is about 484.7866904819.

The spelling of 113933664 in words is "one hundred thirteen million, nine hundred thirty-three thousand, six hundred sixty-four".