13993920 has 168 divisors, whose sum is σ = 49688496. Its totient is φ = 3612672.

The previous prime is 13993909. The next prime is 13993933. The reversal of 13993920 is 2939931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123784 + ... + 123896.

Almost surely, 2^13993920 is an apocalyptic number.

13993920 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 13993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24844248).

13993920 is an abundant number, since it is smaller than the sum of its proper divisors (35694576).

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

13993920 is a wasteful number, since it uses less digits than its factorization.

13993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 13993920 is about 3740.8448243679. The cubic root of 13993920 is about 240.9793316871.

The spelling of 13993920 in words is "thirteen million, nine hundred ninety-three thousand, nine hundred twenty".