113577984 has 208 divisors, whose sum is σ = 366956800. Its totient is φ = 34504704.

The previous prime is 113577983. The next prime is 113578001. The reversal of 113577984 is 489775311.

It is a tau number, because it is divible by the number of its divisors (208).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 113577984 = 144³ + 480³ = 372³ + 396³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113577983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437657 + ... + 1437735.

Almost surely, 2^113577984 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 113577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183478400).

113577984 is an abundant number, since it is smaller than the sum of its proper divisors (253378816).

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

113577984 is an equidigital number, since it uses as much as digits as its factorization.

113577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 113577984 is about 10657.2972183382. The cubic root of 113577984 is about 484.2816929060.

The spelling of 113577984 in words is "one hundred thirteen million, five hundred seventy-seven thousand, nine hundred eighty-four".