13765864 has 24 divisors (see below), whose sum is σ = 30025890. Its totient is φ = 5899488.

The previous prime is 13765859. The next prime is 13765879. The reversal of 13765864 is 46856731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13764100 + 1764 = 3710^2 + 42^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17167 + ... + 17950.

Almost surely, 2^13765864 is an apocalyptic number.

13765864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13765864 is an abundant number, since it is smaller than the sum of its proper divisors (16260026).

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

13765864 is a wasteful number, since it uses less digits than its factorization.

13765864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35137 (or 35126 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 13765864 is about 3710.2377282325. The cubic root of 13765864 is about 239.6630920905.

The spelling of 13765864 in words is "thirteen million, seven hundred sixty-five thousand, eight hundred sixty-four".