960506976 has 384 divisors, whose sum is σ = 3191795712. Its totient is φ = 248832000.

The previous prime is 960506947. The next prime is 960507011. The reversal of 960506976 is 679605069.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 15745986 + ... + 15746046.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^960506976 is an apocalyptic number.

960506976 is a gapful number since it is divisible by the number (96) 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 960506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595897856).

960506976 is an abundant number, since it is smaller than the sum of its proper divisors (2231288736).

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

960506976 is a wasteful number, since it uses less digits than its factorization.

960506976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 960506976 is about 30992.0469798302. The cubic root of 960506976 is about 986.6584533851.

The spelling of 960506976 in words is "nine hundred sixty million, five hundred six thousand, nine hundred seventy-six".