11531664 has 60 divisors (see below), whose sum is σ = 32744556. Its totient is φ = 3787776.

The previous prime is 11531621. The next prime is 11531669. The reversal of 11531664 is 46613511.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 6656400 = 2208^2 + 2580^2 .

It is not an unprimeable number, because it can be changed into a prime (11531669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9964 + ... + 11060.

Almost surely, 2^11531664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16372278).

11531664 is an abundant number, since it is smaller than the sum of its proper divisors (21212892).

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

11531664 is a wasteful number, since it uses less digits than its factorization.

11531664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 11531664 is about 3395.8303844568. The cubic root of 11531664 is about 225.9248451387.

The spelling of 11531664 in words is "eleven million, five hundred thirty-one thousand, six hundred sixty-four".