130646880 has 288 divisors, whose sum is σ = 549267264. Its totient is φ = 27537408.

The previous prime is 130646863. The next prime is 130646881. The reversal of 130646880 is 88646031.

It is a happy number.

130646880 is a `hidden beast` number, since 1 + 3 + 0 + 646 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (130646881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130542 + ... + 131538.

It is an arithmetic number, because the mean of its divisors is an integer number (1907178).

Almost surely, 2^130646880 is an apocalyptic number.

130646880 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 130646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274633632).

130646880 is an abundant number, since it is smaller than the sum of its proper divisors (418620384).

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

130646880 is a wasteful number, since it uses less digits than its factorization.

130646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 130646880 is about 11430.0866138451. The cubic root of 130646880 is about 507.4185589262.

The spelling of 130646880 in words is "one hundred thirty million, six hundred forty-six thousand, eight hundred eighty".