115734564 has 81 divisors (see below), whose sum is σ = 323549499. Its totient is φ = 34855920.

The previous prime is 115734559. The next prime is 115734581. The reversal of 115734564 is 465437511.

The square root of 115734564 is 10758.

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

115734564 is a `hidden beast` number, since 11 + 57 + 34 + 564 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 709947 + ... + 710109.

Almost surely, 2^115734564 is an apocalyptic number.

115734564 is the 10758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115734564

115734564 is an abundant number, since it is smaller than the sum of its proper divisors (207814935).

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

115734564 is a wasteful number, since it uses less digits than its factorization.

115734564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The cubic root of 115734564 is about 487.3276203162.

Multiplying 115734564 by its sum of digits (36), we get a square (4166444304 = 64548²).

115734564 divided by its sum of digits (36) gives a square (3214849 = 1793²).

It can be divided in two parts, 1157 and 34564, that added together give a square (35721 = 189²).

The spelling of 115734564 in words is "one hundred fifteen million, seven hundred thirty-four thousand, five hundred sixty-four".