961088856 has 384 divisors, whose sum is σ = 3318174720. Its totient is φ = 225358848.

The previous prime is 961088851. The next prime is 961088867. The reversal of 961088856 is 658880169.

It is a junction number, because it is equal to n+sod(n) for n = 961088799 and 961088808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961088851) 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 95 ways as a sum of consecutive naturals, for example, 18133726 + ... + 18133778.

It is an arithmetic number, because the mean of its divisors is an integer number (8641080).

Almost surely, 2^961088856 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 961088856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659087360).

961088856 is an abundant number, since it is smaller than the sum of its proper divisors (2357085864).

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

961088856 is a wasteful number, since it uses less digits than its factorization.

961088856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 961088856 is about 31001.4331281636. The cubic root of 961088856 is about 986.8576540641.

It can be divided in two parts, 96 and 1088856, that multiplied together give a square (104530176 = 10224²).

The spelling of 961088856 in words is "nine hundred sixty-one million, eighty-eight thousand, eight hundred fifty-six".