13377864 has 32 divisors (see below), whose sum is σ = 34525440. Its totient is φ = 4315200.

The previous prime is 13377863. The next prime is 13377887. The reversal of 13377864 is 46877331.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13377863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8247 + ... + 9734.

It is an arithmetic number, because the mean of its divisors is an integer number (1078920).

Almost surely, 2^13377864 is an apocalyptic number.

It is an amenable number.

13377864 is an abundant number, since it is smaller than the sum of its proper divisors (21147576).

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

13377864 is a wasteful number, since it uses less digits than its factorization.

13377864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18021 (or 18017 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 13377864 is about 3657.5762466420. The cubic root of 13377864 is about 237.3899116749.

It can be divided in two parts, 13377 and 864, that added together give a palindrome (14241).

The spelling of 13377864 in words is "thirteen million, three hundred seventy-seven thousand, eight hundred sixty-four".