15297920 has 128 divisors (see below), whose sum is σ = 41640480. Its totient is φ = 5324800.

The previous prime is 15297917. The next prime is 15297929. The reversal of 15297920 is 2979251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15297929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 288614 + ... + 288666.

Almost surely, 2^15297920 is an apocalyptic number.

15297920 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 15297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820240).

15297920 is an abundant number, since it is smaller than the sum of its proper divisors (26342560).

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

15297920 is a wasteful number, since it uses less digits than its factorization.

15297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 15297920 is about 3911.2555528884. The cubic root of 15297920 is about 248.2432576739.

It can be divided in two parts, 1529 and 7920, that added together give a palindrome (9449).

The spelling of 15297920 in words is "fifteen million, two hundred ninety-seven thousand, nine hundred twenty".