130584096 has 96 divisors (see below), whose sum is σ = 382838400. Its totient is φ = 43303680.

The previous prime is 130584049. The next prime is 130584101. The reversal of 130584096 is 690485031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×130584096² = 34104412256274432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130584096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309966 + ... + 310386.

It is an arithmetic number, because the mean of its divisors is an integer number (3987900).

Almost surely, 2^130584096 is an apocalyptic number.

130584096 is a gapful number since it is divisible by the number (16) 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 130584096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191419200).

130584096 is an abundant number, since it is smaller than the sum of its proper divisors (252254304).

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

130584096 is a wasteful number, since it uses less digits than its factorization.

130584096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130584096 is about 11427.3398479261. The cubic root of 130584096 is about 507.3372637807.

The spelling of 130584096 in words is "one hundred thirty million, five hundred eighty-four thousand, ninety-six".