13581664 has 24 divisors (see below), whose sum is σ = 27463968. Its totient is φ = 6606720.

The previous prime is 13581643. The next prime is 13581671. The reversal of 13581664 is 46618531.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4552 + ... + 6919.

It is an arithmetic number, because the mean of its divisors is an integer number (1144332).

Almost surely, 2^13581664 is an apocalyptic number.

It is an amenable number.

13581664 is an abundant number, since it is smaller than the sum of its proper divisors (13882304).

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

13581664 is a wasteful number, since it uses less digits than its factorization.

13581664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11510 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 13581664 is about 3685.3309213692. The cubic root of 13581664 is about 238.5893170621.

The spelling of 13581664 in words is "thirteen million, five hundred eighty-one thousand, six hundred sixty-four".