1314821160 has 160 divisors (see below), whose sum is σ = 4438938240. Its totient is φ = 349059456.

The previous prime is 1314821141. The next prime is 1314821161. The reversal of 1314821160 is 611284131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1314821161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 851349 + ... + 852891.

It is an arithmetic number, because the mean of its divisors is an integer number (27743364).

Almost surely, 2^1314821160 is an apocalyptic number.

1314821160 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 1314821160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219469120).

1314821160 is an abundant number, since it is smaller than the sum of its proper divisors (3124117080).

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

1314821160 is a wasteful number, since it uses less digits than its factorization.

1314821160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1314821160 is about 36260.4627659383. The cubic root of 1314821160 is about 1095.5248375382.

The spelling of 1314821160 in words is "one billion, three hundred fourteen million, eight hundred twenty-one thousand, one hundred sixty".