967980 has 96 divisors (see below), whose sum is σ = 3132864. Its totient is φ = 221184.

The previous prime is 967979. The next prime is 967999. The reversal of 967980 is 89769.

967980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13224 + ... + 13296.

It is an arithmetic number, because the mean of its divisors is an integer number (32634).

2⁹⁶⁷⁹⁸⁰ 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 967980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566432).

967980 is an abundant number, since it is smaller than the sum of its proper divisors (2164884).

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

967980 is a wasteful number, since it uses less digits than its factorization.

967980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 967980 is about 983.8597461021. The cubic root of 967980 is about 98.9210675810.

The spelling of 967980 in words is "nine hundred sixty-seven thousand, nine hundred eighty".