960656640 has 288 divisors, whose sum is σ = 3267129600. Its totient is φ = 240058368.

The previous prime is 960656633. The next prime is 960656647. The reversal of 960656640 is 46656069.

It is an interprime number because it is at equal distance from previous prime (960656633) and next prime (960656647).

It is a super-2 number, since 2×960656640² = 1845722359952179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 960656592 and 960656601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960656647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6447286 + ... + 6447434.

It is an arithmetic number, because the mean of its divisors is an integer number (11344200).

Almost surely, 2^960656640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633564800).

960656640 is an abundant number, since it is smaller than the sum of its proper divisors (2306472960).

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

960656640 is a wasteful number, since it uses less digits than its factorization.

960656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 960656640 is about 30994.4614407155. The cubic root of 960656640 is about 986.7096970114.

The spelling of 960656640 in words is "nine hundred sixty million, six hundred fifty-six thousand, six hundred forty".