130884768 has 384 divisors, whose sum is σ = 493516800. Its totient is φ = 32845824.

The previous prime is 130884739. The next prime is 130884781. The reversal of 130884768 is 867488031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953471 + ... + 1953537.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^130884768 is an apocalyptic number.

130884768 is a gapful number since it is divisible by the number (18) 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 130884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

130884768 is an abundant number, since it is smaller than the sum of its proper divisors (362632032).

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

130884768 is a wasteful number, since it uses less digits than its factorization.

130884768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 130884768 is about 11440.4881014754. The cubic root of 130884768 is about 507.7263494021.

The spelling of 130884768 in words is "one hundred thirty million, eight hundred eighty-four thousand, seven hundred sixty-eight".