961080 has 32 divisors (see below), whose sum is σ = 2883600. Its totient is φ = 256256.

The previous prime is 961073. The next prime is 961087. The reversal of 961080 is 80169.

961080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961073) and next prime (961087).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 961080.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961080.

It is not an unprimeable number, because it can be changed into a prime (961087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885 + ... + 4124.

2⁹⁶¹⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

961080 is an abundant number, since it is smaller than the sum of its proper divisors (1922520).

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

961080 is a wasteful number, since it uses less digits than its factorization.

961080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 961080 is about 980.3468773858. The cubic root of 961080 is about 98.6854622906.

It can be divided in two parts, 96 and 1080, that added together give a triangular number (1176 = T₄₈).

The spelling of 961080 in words is "nine hundred sixty-one thousand, eighty".