960962640 has 120 divisors (see below), whose sum is σ = 3274519584. Its totient is φ = 232953600.

The previous prime is 960962627. The next prime is 960962671. The reversal of 960962640 is 46269069.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 960962592 and 960962601.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12495 + ... + 45585.

Almost surely, 2^960962640 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 960962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637259792).

960962640 is an abundant number, since it is smaller than the sum of its proper divisors (2313556944).

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

960962640 is a wasteful number, since it uses less digits than its factorization.

960962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33129 (or 33112 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 960962640 is about 30999.3974134982. The cubic root of 960962640 is about 986.8144521348.

The spelling of 960962640 in words is "nine hundred sixty million, nine hundred sixty-two thousand, six hundred forty".