163880 has 32 divisors (see below), whose sum is σ = 392040. Its totient is φ = 61440.

The previous prime is 163871. The next prime is 163883. The reversal of 163880 is 88361.

It can be written as a sum of positive squares in 4 ways, for example, as 158404 + 5476 = 398^2 + 74^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (163883) by changing a digit.

163880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560 + ... + 800.

2¹⁶³⁸⁸⁰ is an apocalyptic number.

163880 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 163880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020).

163880 is an abundant number, since it is smaller than the sum of its proper divisors (228160).

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

163880 is a wasteful number, since it uses less digits than its factorization.

163880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 163880 is about 404.8209480746. The cubic root of 163880 is about 54.7236829937.

The spelling of 163880 in words is "one hundred sixty-three thousand, eight hundred eighty".