15468960 has 192 divisors, whose sum is σ = 54698112. Its totient is φ = 3649536.

The previous prime is 15468877. The next prime is 15468989. The reversal of 15468960 is 6986451.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230847 + ... + 230913.

It is an arithmetic number, because the mean of its divisors is an integer number (284886).

Almost surely, 2^15468960 is an apocalyptic number.

15468960 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 15468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

15468960 is an abundant number, since it is smaller than the sum of its proper divisors (39229152).

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

15468960 is a wasteful number, since it uses less digits than its factorization.

15468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 15468960 is about 3933.0598775000. The cubic root of 15468960 is about 249.1650008775.

The spelling of 15468960 in words is "fifteen million, four hundred sixty-eight thousand, nine hundred sixty".