168900 has 36 divisors (see below), whose sum is σ = 489552. Its totient is φ = 44960.

The previous prime is 168899. The next prime is 168901. The reversal of 168900 is 9861.

It is an interprime number because it is at equal distance from previous prime (168899) and next prime (168901).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (168901) 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, 19 + ... + 581.

2¹⁶⁸⁹⁰⁰ is an apocalyptic number.

168900 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 168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244776).

168900 is an abundant number, since it is smaller than the sum of its proper divisors (320652).

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

168900 is a wasteful number, since it uses less digits than its factorization.

168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 168900 is about 410.9744517607. The cubic root of 168900 is about 55.2768411039.

The spelling of 168900 in words is "one hundred sixty-eight thousand, nine hundred".