163880160 has 192 divisors, whose sum is σ = 545590080. Its totient is φ = 41287680.

The previous prime is 163880147. The next prime is 163880173. The reversal of 163880160 is 61088361.

It is an interprime number because it is at equal distance from previous prime (163880147) and next prime (163880173).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849024 + ... + 849216.

It is an arithmetic number, because the mean of its divisors is an integer number (2841615).

Almost surely, 2^163880160 is an apocalyptic number.

163880160 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 163880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272795040).

163880160 is an abundant number, since it is smaller than the sum of its proper divisors (381709920).

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

163880160 is a wasteful number, since it uses less digits than its factorization.

163880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 163880160 is about 12801.5686538799. The cubic root of 163880160 is about 547.2370080302.

The spelling of 163880160 in words is "one hundred sixty-three million, eight hundred eighty thousand, one hundred sixty".