13557664 has 48 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 6439680.

The previous prime is 13557641. The next prime is 13557673. The reversal of 13557664 is 46675531.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78282 + ... + 78454.

It is an arithmetic number, because the mean of its divisors is an integer number (584640).

Almost surely, 2^13557664 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 13557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031360).

13557664 is an abundant number, since it is smaller than the sum of its proper divisors (14505056).

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

13557664 is a wasteful number, since it uses less digits than its factorization.

13557664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The square root of 13557664 is about 3682.0733289819. The cubic root of 13557664 is about 238.4486980679.

The spelling of 13557664 in words is "thirteen million, five hundred fifty-seven thousand, six hundred sixty-four".