960056640 has 168 divisors, whose sum is σ = 3496619880. Its totient is φ = 240943104.

The previous prime is 960056609. The next prime is 960056651. The reversal of 960056640 is 46650069.

It is a happy number.

960056640 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 5 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 533055744 + 427000896 = 23088^2 + 20664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 960056595 and 960056604.

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 23 ways as a sum of consecutive naturals, for example, 39156 + ... + 58764.

Almost surely, 2^960056640 is an apocalyptic number.

960056640 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 960056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748309940).

960056640 is an abundant number, since it is smaller than the sum of its proper divisors (2536563240).

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

960056640 is a wasteful number, since it uses less digits than its factorization.

960056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19649 (or 19636 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 960056640 is about 30984.7807802476. The cubic root of 960056640 is about 986.5042302190.

The spelling of 960056640 in words is "nine hundred sixty million, fifty-six thousand, six hundred forty".