13485872 has 20 divisors (see below), whose sum is σ = 26363640. Its totient is φ = 6682368.

The previous prime is 13485863. The next prime is 13485881. The reversal of 13485872 is 27858431.

13485872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13485863) and next prime (13485881).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1922 + ... + 5537.

It is an arithmetic number, because the mean of its divisors is an integer number (1318182).

Almost surely, 2^13485872 is an apocalyptic number.

It is an amenable number.

13485872 is a deficient number, since it is larger than the sum of its proper divisors (12877768).

13485872 is a wasteful number, since it uses less digits than its factorization.

13485872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7580 (or 7574 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 13485872 is about 3672.3115336257. The cubic root of 13485872 is about 238.0270665731.

The spelling of 13485872 in words is "thirteen million, four hundred eighty-five thousand, eight hundred seventy-two".