961093056 has 336 divisors, whose sum is σ = 3327391872. Its totient is φ = 241920000.

The previous prime is 961093037. The next prime is 961093069. The reversal of 961093056 is 650390169.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3828931 + ... + 3829181.

It is an arithmetic number, because the mean of its divisors is an integer number (9902952).

Almost surely, 2^961093056 is an apocalyptic number.

961093056 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 961093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663695936).

961093056 is an abundant number, since it is smaller than the sum of its proper divisors (2366298816).

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

961093056 is a wasteful number, since it uses less digits than its factorization.

961093056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 961093056 is about 31001.5008668935. The cubic root of 961093056 is about 986.8590915990.

The spelling of 961093056 in words is "nine hundred sixty-one million, ninety-three thousand, fifty-six".