961374960 has 640 divisors, whose sum is σ = 4193064960. Its totient is φ = 197074944.

The previous prime is 961374949. The next prime is 961374979. The reversal of 961374960 is 69473169.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13169484 + ... + 13169556.

It is an arithmetic number, because the mean of its divisors is an integer number (6551664).

Almost surely, 2^961374960 is an apocalyptic number.

961374960 is a gapful number since it is divisible by the number (90) 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 961374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096532480).

961374960 is an abundant number, since it is smaller than the sum of its proper divisors (3231690000).

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

961374960 is a wasteful number, since it uses less digits than its factorization.

961374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 961374960 is about 31006.0471521282. The cubic root of 961374960 is about 986.9555693638.

The spelling of 961374960 in words is "nine hundred sixty-one million, three hundred seventy-four thousand, nine hundred sixty".