960744960 has 720 divisors, whose sum is σ = 4148011296. Its totient is φ = 204374016.

The previous prime is 960744931. The next prime is 960744971. The reversal of 960744960 is 69447069.

960744960 is a `hidden beast` number, since 96 + 0 + 74 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 25966062 + ... + 25966098.

Almost surely, 2^960744960 is an apocalyptic number.

960744960 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 960744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074005648).

960744960 is an abundant number, since it is smaller than the sum of its proper divisors (3187266336).

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

960744960 is a wasteful number, since it uses less digits than its factorization.

960744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 960744960 is about 30995.8861786528. The cubic root of 960744960 is about 986.7399344991.

The spelling of 960744960 in words is "nine hundred sixty million, seven hundred forty-four thousand, nine hundred sixty".