13977864 has 48 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 4601184.

The previous prime is 13977857. The next prime is 13977871. The reversal of 13977864 is 46877931.

It is an interprime number because it is at equal distance from previous prime (13977857) and next prime (13977871).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4807 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 2^13977864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13977864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

13977864 is an abundant number, since it is smaller than the sum of its proper divisors (24351336).

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

13977864 is a wasteful number, since it uses less digits than its factorization.

13977864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13977864 is about 3738.6981691493. The cubic root of 13977864 is about 240.8871334357.

It can be divided in two parts, 13977 and 864, that added together give a palindrome (14841).

The spelling of 13977864 in words is "thirteen million, nine hundred seventy-seven thousand, eight hundred sixty-four".