961375968 has 144 divisors (see below), whose sum is σ = 3225470976. Its totient is φ = 265800960.

The previous prime is 961375949. The next prime is 961375979. The reversal of 961375968 is 869573169.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54805 + ... + 70187.

It is an arithmetic number, because the mean of its divisors is an integer number (22399104).

Almost surely, 2^961375968 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 961375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612735488).

961375968 is an abundant number, since it is smaller than the sum of its proper divisors (2264095008).

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

961375968 is a wasteful number, since it uses less digits than its factorization.

961375968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15437 (or 15426 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 961375968 is about 31006.0634070177. The cubic root of 961375968 is about 986.9559143041.

The spelling of 961375968 in words is "nine hundred sixty-one million, three hundred seventy-five thousand, nine hundred sixty-eight".