168980 has 48 divisors (see below), whose sum is σ = 435456. Its totient is φ = 53760.

The previous prime is 168977. The next prime is 168991. The reversal of 168980 is 89861.

168980 = 25² + 26² + ... + 80².

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁶⁸⁹⁸⁰ is an apocalyptic number.

168980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

168980 is an abundant number, since it is smaller than the sum of its proper divisors (266476).

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

168980 is a wasteful number, since it uses less digits than its factorization.

168980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 168980 is about 411.0717698894. The cubic root of 168980 is about 55.2855670745.

The spelling of 168980 in words is "one hundred sixty-eight thousand, nine hundred eighty".