13036672 has 64 divisors (see below), whose sum is σ = 29082240. Its totient is φ = 5770240.

The previous prime is 13036669. The next prime is 13036687. The reversal of 13036672 is 27663031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 13036672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66078 + ... + 66274.

It is an arithmetic number, because the mean of its divisors is an integer number (454410).

Almost surely, 2^13036672 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 13036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541120).

13036672 is an abundant number, since it is smaller than the sum of its proper divisors (16045568).

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

13036672 is a wasteful number, since it uses less digits than its factorization.

13036672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 13036672 is about 3610.6331854676. The cubic root of 13036672 is about 235.3543590067.

The spelling of 13036672 in words is "thirteen million, thirty-six thousand, six hundred seventy-two".