961980 has 24 divisors (see below), whose sum is σ = 2693712. Its totient is φ = 256512.

The previous prime is 961973. The next prime is 961981. The reversal of 961980 is 89169.

It is a happy number.

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 961980.

It is not an unprimeable number, because it can be changed into a prime (961981) by changing a digit.

961980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7957 + ... + 8076.

It is an arithmetic number, because the mean of its divisors is an integer number (112238).

2⁹⁶¹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

961980 is an abundant number, since it is smaller than the sum of its proper divisors (1731732).

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

961980 is a wasteful number, since it uses less digits than its factorization.

961980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16045 (or 16043 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 961980 is about 980.8057911738. The cubic root of 961980 is about 98.7162572318.

The spelling of 961980 in words is "nine hundred sixty-one thousand, nine hundred eighty".