13982320 has 40 divisors (see below), whose sum is σ = 35466480. Its totient is φ = 5084160.

The previous prime is 13982231. The next prime is 13982327. The reversal of 13982320 is 2328931.

13982320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7065 + ... + 8824.

It is an arithmetic number, because the mean of its divisors is an integer number (886662).

Almost surely, 2^13982320 is an apocalyptic number.

13982320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13982320 is an abundant number, since it is smaller than the sum of its proper divisors (21484160).

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

13982320 is a wasteful number, since it uses less digits than its factorization.

13982320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15913 (or 15907 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 13982320 is about 3739.2940510209. The cubic root of 13982320 is about 240.9127281671.

The spelling of 13982320 in words is "thirteen million, nine hundred eighty-two thousand, three hundred twenty".