961500680 has 64 divisors (see below), whose sum is σ = 2482462080. Its totient is φ = 328320000.

The previous prime is 961500679. The next prime is 961500689. The reversal of 961500680 is 86005169.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 961500680.

It is not an unprimeable number, because it can be changed into a prime (961500689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63440 + ... + 77120.

It is an arithmetic number, because the mean of its divisors is an integer number (38788470).

Almost surely, 2^961500680 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 961500680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241231040).

961500680 is an abundant number, since it is smaller than the sum of its proper divisors (1520961400).

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

961500680 is a wasteful number, since it uses less digits than its factorization.

961500680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13950 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 961500680 is about 31008.0744323152. The cubic root of 961500680 is about 986.9985892229.

The spelling of 961500680 in words is "nine hundred sixty-one million, five hundred thousand, six hundred eighty".