15397920 has 216 divisors, whose sum is σ = 57326724. Its totient is φ = 3760128.

The previous prime is 15397909. The next prime is 15397939. The reversal of 15397920 is 2979351.

15397920 = T₈₃ + T₈₄ + ... + T₄₅₂.

It can be written as a sum of positive squares in 6 ways, for example, as 13749264 + 1648656 = 3708^2 + 1284^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 416142 + ... + 416178.

Almost surely, 2^15397920 is an apocalyptic number.

15397920 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 15397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28663362).

15397920 is an abundant number, since it is smaller than the sum of its proper divisors (41928804).

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

15397920 is a wasteful number, since it uses less digits than its factorization.

15397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 15397920 is about 3924.0183485810. The cubic root of 15397920 is about 248.7829918447.

The spelling of 15397920 in words is "fifteen million, three hundred ninety-seven thousand, nine hundred twenty".