15117920 has 48 divisors (see below), whose sum is σ = 37603440. Its totient is φ = 5727744.

The previous prime is 15117919. The next prime is 15117937. The reversal of 15117920 is 2971151.

15117920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15117920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554 + ... + 5526.

It is an arithmetic number, because the mean of its divisors is an integer number (783405).

Almost surely, 2^15117920 is an apocalyptic number.

15117920 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 15117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801720).

15117920 is an abundant number, since it is smaller than the sum of its proper divisors (22485520).

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

15117920 is a wasteful number, since it uses less digits than its factorization.

15117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 15117920 is about 3888.1769507058. The cubic root of 15117920 is about 247.2657784825.

The spelling of 15117920 in words is "fifteen million, one hundred seventeen thousand, nine hundred twenty".