13268961 has 32 divisors (see below), whose sum is σ = 20643840. Its totient is φ = 8413200.

The previous prime is 13268911. The next prime is 13268971. The reversal of 13268961 is 16986231.

It is not a de Polignac number, because 13268961 - 2¹⁸ = 13006817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13268911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69376 + ... + 69566.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 2^13268961 is an apocalyptic number.

It is an amenable number.

13268961 is a deficient number, since it is larger than the sum of its proper divisors (7374879).

13268961 is a wasteful number, since it uses less digits than its factorization.

13268961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13268961 is about 3642.6585071895. The cubic root of 13268961 is about 236.7439953176.

The spelling of 13268961 in words is "thirteen million, two hundred sixty-eight thousand, nine hundred sixty-one".