961320960 has 480 divisors, whose sum is σ = 3686482800. Its totient is φ = 238878720.

The previous prime is 961320937. The next prime is 961320967. The reversal of 961320960 is 69023169.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961320967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759330 + ... + 15759390.

Almost surely, 2^961320960 is an apocalyptic number.

961320960 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 961320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843241400).

961320960 is an abundant number, since it is smaller than the sum of its proper divisors (2725161840).

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

961320960 is a wasteful number, since it uses less digits than its factorization.

961320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 961320960 is about 31005.1763420239. The cubic root of 961320960 is about 986.9370900674.

The spelling of 961320960 in words is "nine hundred sixty-one million, three hundred twenty thousand, nine hundred sixty".