961580928 has 256 divisors, whose sum is σ = 3373539840. Its totient is φ = 234946560.

The previous prime is 961580891. The next prime is 961580947. The reversal of 961580928 is 829085169.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501700 + ... + 503612.

It is an arithmetic number, because the mean of its divisors is an integer number (13177890).

Almost surely, 2^961580928 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 961580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686769920).

961580928 is an abundant number, since it is smaller than the sum of its proper divisors (2411958912).

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

961580928 is a wasteful number, since it uses less digits than its factorization.

961580928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 961580928 is about 31009.3683908589. The cubic root of 961580928 is about 987.0260471544.

The spelling of 961580928 in words is "nine hundred sixty-one million, five hundred eighty thousand, nine hundred twenty-eight".