13980960 has 288 divisors, whose sum is σ = 58181760. Its totient is φ = 2985984.

The previous prime is 13980947. The next prime is 13980971. The reversal of 13980960 is 6908931.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191484 + ... + 191556.

It is an arithmetic number, because the mean of its divisors is an integer number (202020).

Almost surely, 2^13980960 is an apocalyptic number.

13980960 is a gapful number since it is divisible by the number (10) 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 13980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

13980960 is an abundant number, since it is smaller than the sum of its proper divisors (44200800).

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

13980960 is a wasteful number, since it uses less digits than its factorization.

13980960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13980960 is about 3739.1121940910. The cubic root of 13980960 is about 240.9049170663.

The spelling of 13980960 in words is "thirteen million, nine hundred eighty thousand, nine hundred sixty".