130560768 has 144 divisors (see below), whose sum is σ = 416076640. Its totient is φ = 40144896.

The previous prime is 130560763. The next prime is 130560779. The reversal of 130560768 is 867065031.

130560768 is a `hidden beast` number, since 1 + 30 + 560 + 7 + 68 = 666.

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

It is a super-2 number, since 2×130560768² = 34092228281499648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130560763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89130 + ... + 90582.

Almost surely, 2^130560768 is an apocalyptic number.

130560768 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 130560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208038320).

130560768 is an abundant number, since it is smaller than the sum of its proper divisors (285515872).

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

130560768 is a wasteful number, since it uses less digits than its factorization.

130560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 130560768 is about 11426.3190923412. The cubic root of 130560768 is about 507.3070511466.

It can be divided in two parts, 130560 and 768, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 130560768 in words is "one hundred thirty million, five hundred sixty thousand, seven hundred sixty-eight".