130784600 has 96 divisors (see below), whose sum is σ = 323788800. Its totient is φ = 48988800.

The previous prime is 130784569. The next prime is 130784653. The reversal of 130784600 is 6487031.

It is a super-2 number, since 2×130784600² = 34209223194320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482465 + ... + 482735.

It is an arithmetic number, because the mean of its divisors is an integer number (3372800).

Almost surely, 2^130784600 is an apocalyptic number.

130784600 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 130784600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894400).

130784600 is an abundant number, since it is smaller than the sum of its proper divisors (193004200).

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

130784600 is a wasteful number, since it uses less digits than its factorization.

130784600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 130784600 is about 11436.1094783147. The cubic root of 130784600 is about 507.5967929142.

The spelling of 130784600 in words is "one hundred thirty million, seven hundred eighty-four thousand, six hundred".