11505664 has 39 divisors (see below), whose sum is σ = 23450833. Its totient is φ = 5644288.

The previous prime is 11505629. The next prime is 11505667. The reversal of 11505664 is 46650511.

The square root of 11505664 is 3392.

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

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 3211264 = 2880^2 + 1792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11505667) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 217062 + ... + 217114.

Almost surely, 2^11505664 is an apocalyptic number.

11505664 is the 3392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11505664

11505664 is an abundant number, since it is smaller than the sum of its proper divisors (11945169).

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

11505664 is an frugal number, since it uses more digits than its factorization.

11505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 11505664 is about 225.7549226778.

Multiplying 11505664 by its product of nonzero digits (3600), we get a square (41420390400 = 203520²).

The spelling of 11505664 in words is "eleven million, five hundred five thousand, six hundred sixty-four".