961835680 has 48 divisors (see below), whose sum is σ = 2447137224. Its totient is φ = 355138560.

The previous prime is 961835669. The next prime is 961835681. The reversal of 961835680 is 86538169.

It can be written as a sum of positive squares in 4 ways, for example, as 468462736 + 493372944 = 21644^2 + 22212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 961835680.

It is not an unprimeable number, because it can be changed into a prime (961835681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 229131 + ... + 233290.

Almost surely, 2^961835680 is an apocalyptic number.

It is an amenable number.

961835680 is an abundant number, since it is smaller than the sum of its proper divisors (1485301544).

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

961835680 is a wasteful number, since it uses less digits than its factorization.

961835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462449 (or 462441 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 961835680 is about 31013.4757806989. The cubic root of 961835680 is about 987.1132038531.

The spelling of 961835680 in words is "nine hundred sixty-one million, eight hundred thirty-five thousand, six hundred eighty".