113726880 has 72 divisors (see below), whose sum is σ = 388097892. Its totient is φ = 30326784.

The previous prime is 113726839. The next prime is 113726897. The reversal of 113726880 is 88627311.

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 10419984 = 10164^2 + 3228^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38049 + ... + 40928.

Almost surely, 2^113726880 is an apocalyptic number.

113726880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113726880 is an abundant number, since it is smaller than the sum of its proper divisors (274371012).

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

113726880 is a wasteful number, since it uses less digits than its factorization.

113726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78998 (or 78987 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 113726880 is about 10664.2805664517. The cubic root of 113726880 is about 484.4932248635.

The spelling of 113726880 in words is "one hundred thirteen million, seven hundred twenty-six thousand, eight hundred eighty".