13983120 has 60 divisors (see below), whose sum is σ = 46962396. Its totient is φ = 3728640.

The previous prime is 13983089. The next prime is 13983121. The reversal of 13983120 is 2138931.

13983120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 3640464 = 3216^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13983121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8991 + ... + 10430.

Almost surely, 2^13983120 is an apocalyptic number.

13983120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13983120 is an abundant number, since it is smaller than the sum of its proper divisors (32979276).

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

13983120 is a wasteful number, since it uses less digits than its factorization.

13983120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19440 (or 19431 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13983120 is about 3739.4010215541. The cubic root of 13983120 is about 240.9173226957.

The spelling of 13983120 in words is "thirteen million, nine hundred eighty-three thousand, one hundred twenty".