13688961 has 32 divisors (see below), whose sum is σ = 22716288. Its totient is φ = 7203840.

The previous prime is 13688953. The next prime is 13688963. The reversal of 13688961 is 16988631.

It is not a de Polignac number, because 13688961 - 2³ = 13688953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13688963) 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, 6355 + ... + 8231.

It is an arithmetic number, because the mean of its divisors is an integer number (709884).

Almost surely, 2^13688961 is an apocalyptic number.

13688961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13688961 is a deficient number, since it is larger than the sum of its proper divisors (9027327).

13688961 is a wasteful number, since it uses less digits than its factorization.

13688961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921.

The product of its digits is 62208, while the sum is 42.

The square root of 13688961 is about 3699.8595919305. The cubic root of 13688961 is about 239.2159658046.

The spelling of 13688961 in words is "thirteen million, six hundred eighty-eight thousand, nine hundred sixty-one".