163882080 has 144 divisors (see below), whose sum is σ = 567272160. Its totient is φ = 43075584.

The previous prime is 163882009. The next prime is 163882141. The reversal of 163882080 is 80288361.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×163882080² = 53714672290252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104341 + ... + 105899.

It is an arithmetic number, because the mean of its divisors is an integer number (3939390).

Almost surely, 2^163882080 is an apocalyptic number.

163882080 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 163882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283636080).

163882080 is an abundant number, since it is smaller than the sum of its proper divisors (403390080).

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

163882080 is a wasteful number, since it uses less digits than its factorization.

163882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 163882080 is about 12801.6436444700. The cubic root of 163882080 is about 547.2391451426.

The spelling of 163882080 in words is "one hundred sixty-three million, eight hundred eighty-two thousand, eighty".