130610400 has 72 divisors (see below), whose sum is σ = 425144664. Its totient is φ = 34828800.

The previous prime is 130610383. The next prime is 130610401. The reversal of 130610400 is 4016031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130610400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130610401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24811 + ... + 29610.

It is an arithmetic number, because the mean of its divisors is an integer number (5904787).

Almost surely, 2^130610400 is an apocalyptic number.

130610400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130610400 is an abundant number, since it is smaller than the sum of its proper divisors (294534264).

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

130610400 is a wasteful number, since it uses less digits than its factorization.

130610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54444 (or 54431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130610400 is about 11428.4907140007. The cubic root of 130610400 is about 507.3713263857.

Adding to 130610400 its reverse (4016031), we get a palindrome (134626431).

The spelling of 130610400 in words is "one hundred thirty million, six hundred ten thousand, four hundred".