168540 has 36 divisors (see below), whose sum is σ = 480984. Its totient is φ = 44096.

The previous prime is 168533. The next prime is 168541. The reversal of 168540 is 45861.

It is a self number, because there is not a number n which added to its sum of digits gives 168540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3154 + ... + 3206.

2¹⁶⁸⁵⁴⁰ is an apocalyptic number.

168540 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 168540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240492).

168540 is an abundant number, since it is smaller than the sum of its proper divisors (312444).

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

168540 is a wasteful number, since it uses less digits than its factorization.

168540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 168540 is about 410.5362346980. The cubic root of 168540 is about 55.2375401016.

Multiplying 168540 by its product of nonzero digits (960), we get a square (161798400 = 12720²).

The spelling of 168540 in words is "one hundred sixty-eight thousand, five hundred forty".