113863680 has 264 divisors, whose sum is σ = 452174112. Its totient is φ = 25952256.

The previous prime is 113863679. The next prime is 113863691. The reversal of 113863680 is 86368311.

113863680 is a `hidden beast` number, since 1 + 13 + 8 + 636 + 8 + 0 = 666.

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

It is a zygodrome in base 8.

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, 322384 + ... + 322736.

Almost surely, 2^113863680 is an apocalyptic number.

113863680 is a gapful number since it is divisible by the number (10) 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 113863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226087056).

113863680 is an abundant number, since it is smaller than the sum of its proper divisors (338310432).

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

113863680 is a wasteful number, since it uses less digits than its factorization.

113863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 113863680 is about 10670.6925735868. The cubic root of 113863680 is about 484.6874097263.

The spelling of 113863680 in words is "one hundred thirteen million, eight hundred sixty-three thousand, six hundred eighty".