13993120 has 48 divisors (see below), whose sum is σ = 34806240. Its totient is φ = 5301504.

The previous prime is 13993087. The next prime is 13993127. The reversal of 13993120 is 2139931.

It is not an unprimeable number, because it can be changed into a prime (13993127) 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, 739 + ... + 5341.

It is an arithmetic number, because the mean of its divisors is an integer number (725130).

Almost surely, 2^13993120 is an apocalyptic number.

13993120 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 13993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403120).

13993120 is an abundant number, since it is smaller than the sum of its proper divisors (20813120).

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

13993120 is a wasteful number, since it uses less digits than its factorization.

13993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 13993120 is about 3740.7378951218. The cubic root of 13993120 is about 240.9747395228.

The spelling of 13993120 in words is "thirteen million, nine hundred ninety-three thousand, one hundred twenty".