1310830164 has 108 divisors (see below), whose sum is σ = 3978968448. Its totient is φ = 362426400.

The previous prime is 1310830163. The next prime is 1310830177. The reversal of 1310830164 is 4610380131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310830163) 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, 42699 + ... + 66669.

Almost surely, 2^1310830164 is an apocalyptic number.

1310830164 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 1310830164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989484224).

1310830164 is an abundant number, since it is smaller than the sum of its proper divisors (2668138284).

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

1310830164 is a wasteful number, since it uses less digits than its factorization.

1310830164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24026 (or 24014 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1310830164 is about 36205.3886044605. The cubic root of 1310830164 is about 1094.4152654618.

The spelling of 1310830164 in words is "one billion, three hundred ten million, eight hundred thirty thousand, one hundred sixty-four".