113584400 has 30 divisors (see below), whose sum is σ = 272887482. Its totient is φ = 45433600.

The previous prime is 113584399. The next prime is 113584433. The reversal of 113584400 is 4485311.

It can be written as a sum of positive squares in 3 ways, for example, as 1478656 + 112105744 = 1216^2 + 10588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113584400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141581 + ... + 142380.

Almost surely, 2^113584400 is an apocalyptic number.

113584400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113584400 is an abundant number, since it is smaller than the sum of its proper divisors (159303082).

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

113584400 is a wasteful number, since it uses less digits than its factorization.

113584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283979 (or 283968 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 113584400 is about 10657.5982284941. The cubic root of 113584400 is about 484.2908117297.

The spelling of 113584400 in words is "one hundred thirteen million, five hundred eighty-four thousand, four hundred".