113584896 has 72 divisors (see below), whose sum is σ = 335910960. Its totient is φ = 37859328.

The previous prime is 113584847. The next prime is 113584901. The reversal of 113584896 is 698485311.

113584896 is a `hidden beast` number, since 113 + 58 + 489 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 15128.

It is an arithmetic number, because the mean of its divisors is an integer number (4665430).

Almost surely, 2^113584896 is an apocalyptic number.

113584896 is a gapful number since it is divisible by the number (16) 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 113584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167955480).

113584896 is an abundant number, since it is smaller than the sum of its proper divisors (222326064).

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

113584896 is an equidigital number, since it uses as much as digits as its factorization.

113584896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16458 (or 16438 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 113584896 is about 10657.6214982518. The cubic root of 113584896 is about 484.2915166618.

The spelling of 113584896 in words is "one hundred thirteen million, five hundred eighty-four thousand, eight hundred ninety-six".