163800 has 144 divisors (see below), whose sum is σ = 677040. Its totient is φ = 34560.

The previous prime is 163789. The next prime is 163811. The reversal of 163800 is 8361.

163800 = T₉₉ + T₁₀₀ + ... + T₁₂₄.

It is an interprime number because it is at equal distance from previous prime (163789) and next prime (163811).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12594 + ... + 12606.

2¹⁶³⁸⁰⁰ is an apocalyptic number.

163800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163800 is the 234-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338520).

163800 is an abundant number, since it is smaller than the sum of its proper divisors (513240).

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

163800 is a wasteful number, since it uses less digits than its factorization.

163800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 163800 is about 404.7221268970. The cubic root of 163800 is about 54.7147768689.

The spelling of 163800 in words is "one hundred sixty-three thousand, eight hundred".