13920960 has 112 divisors (see below), whose sum is σ = 46853856. Its totient is φ = 3489792.

The previous prime is 13920947. The next prime is 13920967. The reversal of 13920960 is 6902931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13920967) 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, 15894 + ... + 16746.

It is an arithmetic number, because the mean of its divisors is an integer number (418338).

Almost surely, 2^13920960 is an apocalyptic number.

13920960 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 13920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426928).

13920960 is an abundant number, since it is smaller than the sum of its proper divisors (32932896).

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

13920960 is a wasteful number, since it uses less digits than its factorization.

13920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13920960 is about 3731.0802725216. The cubic root of 13920960 is about 240.5598043421.

The spelling of 13920960 in words is "thirteen million, nine hundred twenty thousand, nine hundred sixty".