15564960 has 120 divisors (see below), whose sum is σ = 54977076. Its totient is φ = 4147200.

The previous prime is 15564949. The next prime is 15564961. The reversal of 15564960 is 6946551.

15564960 is a `hidden beast` number, since 1 + 5 + 5 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 2862864 = 3564^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (15564961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12360 + ... + 13560.

Almost surely, 2^15564960 is an apocalyptic number.

15564960 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 15564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27488538).

15564960 is an abundant number, since it is smaller than the sum of its proper divisors (39412116).

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

15564960 is a wasteful number, since it uses less digits than its factorization.

15564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 15564960 is about 3945.2452395257. The cubic root of 15564960 is about 249.6793756425.

The spelling of 15564960 in words is "fifteen million, five hundred sixty-four thousand, nine hundred sixty".