166820 has 24 divisors (see below), whose sum is σ = 369600. Its totient is φ = 63072.

The previous prime is 166807. The next prime is 166823. The reversal of 166820 is 28661.

It is not an unprimeable number, because it can be changed into a prime (166823) 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, 161 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2¹⁶⁶⁸²⁰ is an apocalyptic number.

166820 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 166820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184800).

166820 is an abundant number, since it is smaller than the sum of its proper divisors (202780).

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

166820 is a wasteful number, since it uses less digits than its factorization.

166820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 166820 is about 408.4360415047. The cubic root of 166820 is about 55.0489921591.

The spelling of 166820 in words is "one hundred sixty-six thousand, eight hundred twenty".