13984960 has 112 divisors (see below), whose sum is σ = 37856160. Its totient is φ = 4874240.

The previous prime is 13984913. The next prime is 13984961. The reversal of 13984960 is 6948931.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13984961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102012 + ... + 102148.

Almost surely, 2^13984960 is an apocalyptic number.

13984960 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 13984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928080).

13984960 is an abundant number, since it is smaller than the sum of its proper divisors (23871200).

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

13984960 is a wasteful number, since it uses less digits than its factorization.

13984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 13984960 is about 3739.6470421686. The cubic root of 13984960 is about 240.9278894465.

The spelling of 13984960 in words is "thirteen million, nine hundred eighty-four thousand, nine hundred sixty".