115605504 has 171 divisors, whose sum is σ = 388496667. Its totient is φ = 33030144.

The previous prime is 115605467. The next prime is 115605569. The reversal of 115605504 is 405506511.

It is a happy number.

The square root of 115605504 is 10752.

It is a perfect power (a square), and thus also a powerful number.

115605504 is a `hidden beast` number, since 1 + 1 + 5 + 605 + 50 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16515069 + ... + 16515075.

Almost surely, 2^115605504 is an apocalyptic number.

115605504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

115605504 is the 10752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115605504

115605504 is an abundant number, since it is smaller than the sum of its proper divisors (272891163).

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

115605504 is an frugal number, since it uses more digits than its factorization.

115605504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The cubic root of 115605504 is about 487.1464071053.

The spelling of 115605504 in words is "one hundred fifteen million, six hundred five thousand, five hundred four".