13292864 has 42 divisors (see below), whose sum is σ = 28586430. Its totient is φ = 6130176.

The previous prime is 13292863. The next prime is 13292947. The reversal of 13292864 is 46829231.

It can be written as a sum of positive squares in 3 ways, for example, as 1459264 + 11833600 = 1208^2 + 3440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13292863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10202 + ... + 11430.

Almost surely, 2^13292864 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 13292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293215).

13292864 is an abundant number, since it is smaller than the sum of its proper divisors (15293566).

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

13292864 is a wasteful number, since it uses less digits than its factorization.

13292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1244 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 13292864 is about 3645.9380137353. The cubic root of 13292864 is about 236.8860686645.

The spelling of 13292864 in words is "thirteen million, two hundred ninety-two thousand, eight hundred sixty-four".