15252960 has 96 divisors (see below), whose sum is σ = 49230720. Its totient is φ = 3967488.

The previous prime is 15252949. The next prime is 15252967. The reversal of 15252960 is 6925251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15252967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20271 + ... + 21009.

It is an arithmetic number, because the mean of its divisors is an integer number (512820).

Almost surely, 2^15252960 is an apocalyptic number.

15252960 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 15252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615360).

15252960 is an abundant number, since it is smaller than the sum of its proper divisors (33977760).

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

15252960 is a wasteful number, since it uses less digits than its factorization.

15252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 15252960 is about 3905.5038087294. The cubic root of 15252960 is about 247.9998265694. Note that the first 3 decimals are identical.

The spelling of 15252960 in words is "fifteen million, two hundred fifty-two thousand, nine hundred sixty".