13962880 has 32 divisors (see below), whose sum is σ = 33381540. Its totient is φ = 5584896.

The previous prime is 13962869. The next prime is 13962911. The reversal of 13962880 is 8826931.

It can be written as a sum of positive squares in 2 ways, for example, as 13957696 + 5184 = 3736^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 10269 + ... + 11548.

Almost surely, 2^13962880 is an apocalyptic number.

13962880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13962880 is an abundant number, since it is smaller than the sum of its proper divisors (19418660).

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

13962880 is an equidigital number, since it uses as much as digits as its factorization.

13962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21836 (or 21824 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 13962880 is about 3736.6937257420. The cubic root of 13962880 is about 240.8010272102.

The spelling of 13962880 in words is "thirteen million, nine hundred sixty-two thousand, eight hundred eighty".