113976576 has 216 divisors, whose sum is σ = 387738624. Its totient is φ = 31518720.

The previous prime is 113976571. The next prime is 113976589. The reversal of 113976576 is 675679311.

113976576 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 76 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113976571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596641 + ... + 596831.

Almost surely, 2^113976576 is an apocalyptic number.

113976576 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 113976576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869312).

113976576 is an abundant number, since it is smaller than the sum of its proper divisors (273762048).

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

113976576 is a wasteful number, since it uses less digits than its factorization.

113976576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 113976576 is about 10675.9812663755. The cubic root of 113976576 is about 484.8475462305.

The spelling of 113976576 in words is "one hundred thirteen million, nine hundred seventy-six thousand, five hundred seventy-six".