15240960 has 324 divisors, whose sum is σ = 63613368. Its totient is φ = 3483648.

The previous prime is 15240949. The next prime is 15240961. The reversal of 15240960 is 6904251.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15240961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2177277 + ... + 2177283.

Almost surely, 2^15240960 is an apocalyptic number.

15240960 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 15240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806684).

15240960 is an abundant number, since it is smaller than the sum of its proper divisors (48372408).

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

15240960 is an frugal number, since it uses more digits than its factorization.

15240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 15240960 is about 3903.9672129771. The cubic root of 15240960 is about 247.9347729952.

Multiplying 15240960 by its product of nonzero digits (2160), we get a square (32920473600 = 181440²).

15240960 divided by its product of nonzero digits (2160) gives a square (7056 = 84²).

The spelling of 15240960 in words is "fifteen million, two hundred forty thousand, nine hundred sixty".