961443360 has 144 divisors (see below), whose sum is σ = 3303682200. Its totient is φ = 254607360.

The previous prime is 961443349. The next prime is 961443383. The reversal of 961443360 is 63344169.

961443360 is a `hidden beast` number, since 9 + 614 + 4 + 3 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 715455504 + 245987856 = 26748^2 + 15684^2 .

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

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

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, 212320 + ... + 216800.

Almost surely, 2^961443360 is an apocalyptic number.

961443360 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 961443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651841100).

961443360 is an abundant number, since it is smaller than the sum of its proper divisors (2342238840).

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

961443360 is a wasteful number, since it uses less digits than its factorization.

961443360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 961443360 is about 31007.1501431525. The cubic root of 961443360 is about 986.9789754793.

The spelling of 961443360 in words is "nine hundred sixty-one million, four hundred forty-three thousand, three hundred sixty".