961360 has 40 divisors (see below), whose sum is σ = 2283336. Its totient is φ = 376320.

The previous prime is 961339. The next prime is 961393. The reversal of 961360 is 63169.

961360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 853776 = 328^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4782 + ... + 4978.

2⁹⁶¹³⁶⁰ 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 961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141668).

961360 is an abundant number, since it is smaller than the sum of its proper divisors (1321976).

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

961360 is a wasteful number, since it uses less digits than its factorization.

961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 961360 is about 980.4896735815. The cubic root of 961360 is about 98.6950449984.

The spelling of 961360 in words is "nine hundred sixty-one thousand, three hundred sixty".