163130880 has 160 divisors (see below), whose sum is σ = 569213568. Its totient is φ = 39526400.

The previous prime is 163130879. The next prime is 163130893. The reversal of 163130880 is 88031361.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×163130880² = 53223368019148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83515 + ... + 85445.

Almost surely, 2^163130880 is an apocalyptic number.

163130880 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 163130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284606784).

163130880 is an abundant number, since it is smaller than the sum of its proper divisors (406082688).

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

163130880 is a wasteful number, since it uses less digits than its factorization.

163130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 163130880 is about 12772.2699626965. The cubic root of 163130880 is about 546.4017223646.

The spelling of 163130880 in words is "one hundred sixty-three million, one hundred thirty thousand, eight hundred eighty".