130584384 has 168 divisors, whose sum is σ = 432694080. Its totient is φ = 36882432.

The previous prime is 130584373. The next prime is 130584401. The reversal of 130584384 is 483485031.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 560332 + ... + 560564.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^130584384 is an apocalyptic number.

130584384 is a gapful number since it is divisible by the number (14) 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 130584384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216347040).

130584384 is an abundant number, since it is smaller than the sum of its proper divisors (302109696).

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

130584384 is a wasteful number, since it uses less digits than its factorization.

130584384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 130584384 is about 11427.3524492771. The cubic root of 130584384 is about 507.3376367537.

The spelling of 130584384 in words is "one hundred thirty million, five hundred eighty-four thousand, three hundred eighty-four".