13292664 has 64 divisors (see below), whose sum is σ = 41437440. Its totient is φ = 3452160.

The previous prime is 13292663. The next prime is 13292677. The reversal of 13292664 is 46629231.

13292664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13292663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749 + ... + 5444.

It is an arithmetic number, because the mean of its divisors is an integer number (647460).

Almost surely, 2^13292664 is an apocalyptic number.

13292664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13292664 is an abundant number, since it is smaller than the sum of its proper divisors (28144776).

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

13292664 is a wasteful number, since it uses less digits than its factorization.

13292664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 7216 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 13292664 is about 3645.9105858482. The cubic root of 13292664 is about 236.8848806223.

It can be divided in two parts, 1329 and 2664, that added together give a palindrome (3993).

The spelling of 13292664 in words is "thirteen million, two hundred ninety-two thousand, six hundred sixty-four".