1311598080 has 480 divisors, whose sum is σ = 5094048960. Its totient is φ = 309657600.

The previous prime is 1311598039. The next prime is 1311598087. The reversal of 1311598080 is 808951131.

It is a tau number, because it is divible by the number of its divisors (480).

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 (1311598087) 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, 8686005 + ... + 8686155.

It is an arithmetic number, because the mean of its divisors is an integer number (10612602).

Almost surely, 2^1311598080 is an apocalyptic number.

1311598080 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 1311598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547024480).

1311598080 is an abundant number, since it is smaller than the sum of its proper divisors (3782450880).

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

1311598080 is a wasteful number, since it uses less digits than its factorization.

1311598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1311598080 is about 36215.9920477128. The cubic root of 1311598080 is about 1094.6289353830.

The spelling of 1311598080 in words is "one billion, three hundred eleven million, five hundred ninety-eight thousand, eighty".