921978960 has 160 divisors (see below), whose sum is σ = 3315597312. Its totient is φ = 207567360.

The previous prime is 921978929. The next prime is 921978997. The reversal of 921978960 is 69879129.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108465 + ... + 116655.

Almost surely, 2^921978960 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 921978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657798656).

921978960 is an abundant number, since it is smaller than the sum of its proper divisors (2393618352).

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

921978960 is a wasteful number, since it uses less digits than its factorization.

921978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 921978960 is about 30364.1064416525. The cubic root of 921978960 is about 973.2856870820.

The spelling of 921978960 in words is "nine hundred twenty-one million, nine hundred seventy-eight thousand, nine hundred sixty".