13068864 has 70 divisors (see below), whose sum is σ = 38755574. Its totient is φ = 4354560.

The previous prime is 13068859. The next prime is 13068871. The reversal of 13068864 is 46886031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 6350400 = 2592^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3924 + ... + 6444.

Almost surely, 2^13068864 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 13068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377787).

13068864 is an abundant number, since it is smaller than the sum of its proper divisors (25686710).

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

13068864 is an equidigital number, since it uses as much as digits as its factorization.

13068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13068864 is about 3615.0883806624. The cubic root of 13068864 is about 235.5479232262.

Subtracting from 13068864 its sum of digits (36), we obtain a triangular number (13068828 = T₅₁₁₂).

The spelling of 13068864 in words is "thirteen million, sixty-eight thousand, eight hundred sixty-four".