163980 has 36 divisors (see below), whose sum is σ = 497952. Its totient is φ = 43680.

The previous prime is 163979. The next prime is 163981. The reversal of 163980 is 89361.

It is an interprime number because it is at equal distance from previous prime (163979) and next prime (163981).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (163981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2¹⁶³⁹⁸⁰ is an apocalyptic number.

163980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163980 is an abundant number, since it is smaller than the sum of its proper divisors (333972).

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

163980 is a wasteful number, since it uses less digits than its factorization.

163980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 163980 is about 404.9444406335. The cubic root of 163980 is about 54.7348115747.

The spelling of 163980 in words is "one hundred sixty-three thousand, nine hundred eighty".