961822656 has 84 divisors (see below), whose sum is σ = 2763774000. Its totient is φ = 319807488.

The previous prime is 961822633. The next prime is 961822657. The reversal of 961822656 is 656228169.

961822656 is a `hidden beast` number, since 9 + 618 + 2 + 26 + 5 + 6 = 666.

961822656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961822657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256765 + ... + 260483.

Almost surely, 2^961822656 is an apocalyptic number.

961822656 is a gapful number since it is divisible by the number (96) 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 961822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381887000).

961822656 is an abundant number, since it is smaller than the sum of its proper divisors (1801951344).

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

961822656 is a wasteful number, since it uses less digits than its factorization.

961822656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4173 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 961822656 is about 31013.2658067479. The cubic root of 961822656 is about 987.1087484072.

The spelling of 961822656 in words is "nine hundred sixty-one million, eight hundred twenty-two thousand, six hundred fifty-six".