13977264 has 80 divisors (see below), whose sum is σ = 43711488. Its totient is φ = 3757056.

The previous prime is 13977263. The next prime is 13977317. The reversal of 13977264 is 46277931.

It is not an unprimeable number, because it can be changed into a prime (13977263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4489 + ... + 6935.

Almost surely, 2^13977264 is an apocalyptic number.

13977264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13977264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855744).

13977264 is an abundant number, since it is smaller than the sum of its proper divisors (29734224).

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

13977264 is a wasteful number, since it uses less digits than its factorization.

13977264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2476 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 13977264 is about 3738.6179264536. The cubic root of 13977264 is about 240.8836866919.

It can be divided in two parts, 13977 and 264, that added together give a palindrome (14241).

The spelling of 13977264 in words is "thirteen million, nine hundred seventy-seven thousand, two hundred sixty-four".