960928920 has 384 divisors, whose sum is σ = 3836851200. Its totient is φ = 211631616.

The previous prime is 960928919. The next prime is 960928951. The reversal of 960928920 is 29829069.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1972917 + ... + 1973403.

It is an arithmetic number, because the mean of its divisors is an integer number (9991800).

Almost surely, 2^960928920 is an apocalyptic number.

960928920 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 960928920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918425600).

960928920 is an abundant number, since it is smaller than the sum of its proper divisors (2875922280).

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

960928920 is a wasteful number, since it uses less digits than its factorization.

960928920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 960928920 is about 30998.8535271871. The cubic root of 960928920 is about 986.8029096213.

The spelling of 960928920 in words is "nine hundred sixty million, nine hundred twenty-eight thousand, nine hundred twenty".