130568760 has 384 divisors, whose sum is σ = 534643200. Its totient is φ = 27993600.

The previous prime is 130568743. The next prime is 130568761. The reversal of 130568760 is 67865031.

130568760 is a `hidden beast` number, since 1 + 30 + 568 + 7 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130568761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1292710 + ... + 1292810.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^130568760 is an apocalyptic number.

130568760 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 130568760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

130568760 is an abundant number, since it is smaller than the sum of its proper divisors (404074440).

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

130568760 is a wasteful number, since it uses less digits than its factorization.

130568760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

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

The square root of 130568760 is about 11426.6688059119. The cubic root of 130568760 is about 507.3174021765.

It can be divided in two parts, 130568 and 760, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 130568760 in words is "one hundred thirty million, five hundred sixty-eight thousand, seven hundred sixty".