168520 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 61120.

The previous prime is 168499. The next prime is 168523. The reversal of 168520 is 25861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 168491 and 168500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168523) 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, 249 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

168520 is a Friedman number, since it can be written as 21065*8, using all its digits and the basic arithmetic operations.

2¹⁶⁸⁵²⁰ is an apocalyptic number.

168520 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 168520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

168520 is an abundant number, since it is smaller than the sum of its proper divisors (246200).

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

168520 is a wasteful number, since it uses less digits than its factorization.

168520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 168520 is about 410.5118755895. The cubic root of 168520 is about 55.2353550723.

The spelling of 168520 in words is "one hundred sixty-eight thousand, five hundred twenty".