166830 has 32 divisors (see below), whose sum is σ = 411264. Its totient is φ = 43296.

The previous prime is 166823. The next prime is 166841. The reversal of 166830 is 38661.

166830 = 13² + 14² + ... + 79².

It is a self number, because there is not a number n which added to its sum of digits gives 166830.

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, 1969 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2¹⁶⁶⁸³⁰ is an apocalyptic number.

166830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632).

166830 is an abundant number, since it is smaller than the sum of its proper divisors (244434).

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

166830 is a wasteful number, since it uses less digits than its factorization.

166830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 166830 is about 408.4482831400. The cubic root of 166830 is about 55.0500921050.

The spelling of 166830 in words is "one hundred sixty-six thousand, eight hundred thirty".