13079664 has 160 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 3760128.

The previous prime is 13079659. The next prime is 13079683. The reversal of 13079664 is 46697031.

It is a super-2 number, since 2×13079664² = 342155220705792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95404 + ... + 95540.

It is an arithmetic number, because the mean of its divisors is an integer number (269514).

Almost surely, 2^13079664 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 13079664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

13079664 is an abundant number, since it is smaller than the sum of its proper divisors (30042576).

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

13079664 is a wasteful number, since it uses less digits than its factorization.

13079664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13079664 is about 3616.5818116006. The cubic root of 13079664 is about 235.6127903061.

The spelling of 13079664 in words is "thirteen million, seventy-nine thousand, six hundred sixty-four".