166520 has 32 divisors (see below), whose sum is σ = 393120. Its totient is φ = 63360.

The previous prime is 166487. The next prime is 166541. The reversal of 166520 is 25661.

166520 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 166492 and 166501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁶⁶⁵²⁰ is an apocalyptic number.

166520 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 166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

166520 is an abundant number, since it is smaller than the sum of its proper divisors (226600).

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

166520 is a wasteful number, since it uses less digits than its factorization.

166520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 166520 is about 408.0686216802. The cubic root of 166520 is about 55.0159733219.

It can be divided in two parts, 166 and 520, that multiplied together give a triangular number (86320 = T₄₁₅).

The spelling of 166520 in words is "one hundred sixty-six thousand, five hundred twenty".