13959680 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 4423680.

The previous prime is 13959679. The next prime is 13959683. The reversal of 13959680 is 8695931.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (13959683) 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, 340460 + ... + 340500.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^13959680 is an apocalyptic number.

13959680 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 13959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

13959680 is an abundant number, since it is smaller than the sum of its proper divisors (27287680).

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

13959680 is an equidigital number, since it uses as much as digits as its factorization.

13959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 13959680 is about 3736.2655151903. The cubic root of 13959680 is about 240.7826302854.

The spelling of 13959680 in words is "thirteen million, nine hundred fifty-nine thousand, six hundred eighty".