130027968 has 252 divisors, whose sum is σ = 460747872. Its totient is φ = 34836480.

The previous prime is 130027943. The next prime is 130027969. The reversal of 130027968 is 869720031.

It is a tau number, because it is divible by the number of its divisors (252).

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 (130027969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479673 + ... + 479943.

Almost surely, 2^130027968 is an apocalyptic number.

130027968 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 130027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230373936).

130027968 is an abundant number, since it is smaller than the sum of its proper divisors (330719904).

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

130027968 is a wasteful number, since it uses less digits than its factorization.

130027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130027968 is about 11402.9806629670. The cubic root of 130027968 is about 506.6160275644.

Adding to 130027968 its reverse (869720031), we get a palindrome (999747999).

The spelling of 130027968 in words is "one hundred thirty million, twenty-seven thousand, nine hundred sixty-eight".