927984960 has 336 divisors, whose sum is σ = 3682179072. Its totient is φ = 210124800.

The previous prime is 927984931. The next prime is 927984961. The reversal of 927984960 is 69489729.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×927984960² = 1722312171972403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 927984897 and 927984906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927984961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3850440 + ... + 3850680.

Almost surely, 2^927984960 is an apocalyptic number.

927984960 is a gapful number since it is divisible by the number (90) 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 927984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841089536).

927984960 is an abundant number, since it is smaller than the sum of its proper divisors (2754194112).

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

927984960 is a wasteful number, since it uses less digits than its factorization.

927984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 927984960 is about 30462.8455663617. The cubic root of 927984960 is about 975.3945227850.

The spelling of 927984960 in words is "nine hundred twenty-seven million, nine hundred eighty-four thousand, nine hundred sixty".