927648960 has 448 divisors, whose sum is σ = 3579961344. Its totient is φ = 199065600.

The previous prime is 927648947. The next prime is 927648973. The reversal of 927648960 is 69846729.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (927648947) and next prime (927648973).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12707484 + ... + 12707556.

Almost surely, 2^927648960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 927648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789980672).

927648960 is an abundant number, since it is smaller than the sum of its proper divisors (2652312384).

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

927648960 is a wasteful number, since it uses less digits than its factorization.

927648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 927648960 is about 30457.3301521982. The cubic root of 927648960 is about 975.2767866376.

The spelling of 927648960 in words is "nine hundred twenty-seven million, six hundred forty-eight thousand, nine hundred sixty".