15613920 has 144 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 3566592.

The previous prime is 15613909. The next prime is 15613921. The reversal of 15613920 is 2931651.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15613921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9306 + ... + 10854.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 2^15613920 is an apocalyptic number.

15613920 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 15613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

15613920 is an abundant number, since it is smaller than the sum of its proper divisors (45319680).

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

15613920 is a wasteful number, since it uses less digits than its factorization.

15613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 15613920 is about 3951.4453052016. The cubic root of 15613920 is about 249.9408926931.

The spelling of 15613920 in words is "fifteen million, six hundred thirteen thousand, nine hundred twenty".