166980 has 72 divisors (see below), whose sum is σ = 536256. Its totient is φ = 38720.

The previous prime is 166979. The next prime is 166987. The reversal of 166980 is 89661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (166987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7249 + ... + 7271.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2¹⁶⁶⁹⁸⁰ is an apocalyptic number.

166980 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 166980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128).

166980 is an abundant number, since it is smaller than the sum of its proper divisors (369276).

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

166980 is a wasteful number, since it uses less digits than its factorization.

166980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 166980 is about 408.6318636621. The cubic root of 166980 is about 55.0665860214.

It can be divided in two parts, 16 and 6980, that added together give a palindrome (6996).

The spelling of 166980 in words is "one hundred sixty-six thousand, nine hundred eighty".