959268960 has 768 divisors, whose sum is σ = 4064256000. Its totient is φ = 209018880.

The previous prime is 959268917. The next prime is 959268971. The reversal of 959268960 is 69862959.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 959268897 and 959268906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30944145 + ... + 30944175.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^959268960 is an apocalyptic number.

959268960 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 959268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

959268960 is an abundant number, since it is smaller than the sum of its proper divisors (3104987040).

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

959268960 is a wasteful number, since it uses less digits than its factorization.

959268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 959268960 is about 30972.0674156570. The cubic root of 959268960 is about 986.2343634121.

The spelling of 959268960 in words is "nine hundred fifty-nine million, two hundred sixty-eight thousand, nine hundred sixty".