96980 has 24 divisors (see below), whose sum is σ = 219912. Its totient is φ = 35712.

The previous prime is 96979. The next prime is 96989. The reversal of 96980 is 8969.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 94864 = 46^2 + 308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96989) 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, 74 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (9163).

2⁹⁶⁹⁸⁰ 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 96980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109956).

96980 is an abundant number, since it is smaller than the sum of its proper divisors (122932).

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

96980 is a wasteful number, since it uses less digits than its factorization.

96980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 96980 is about 311.4161203278. The cubic root of 96980 is about 45.9438508350.

The spelling of 96980 in words is "ninety-six thousand, nine hundred eighty".