956790640 has 80 divisors (see below), whose sum is σ = 2400971328. Its totient is φ = 352493568.

The previous prime is 956790631. The next prime is 956790641. The reversal of 956790640 is 46097659.

956790640 is a nontrivial binomial coefficient, being equal to C(43745, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956790641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699237 + ... + 700603.

Almost surely, 2^956790640 is an apocalyptic number.

956790640 is the 43744-th triangular number.

956790640 is the 14582-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200485664).

956790640 is an abundant number, since it is smaller than the sum of its proper divisors (1444180688).

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

956790640 is a wasteful number, since it uses less digits than its factorization.

956790640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 956790640 is about 30932.0325875944. The cubic root of 956790640 is about 985.3843021034.

The spelling of 956790640 in words is "nine hundred fifty-six million, seven hundred ninety thousand, six hundred forty".