1311870960 has 240 divisors, whose sum is σ = 4911248160. Its totient is φ = 311869440.

The previous prime is 1311870949. The next prime is 1311870997. The reversal of 1311870960 is 690781131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229740 + ... + 235380.

It is an arithmetic number, because the mean of its divisors is an integer number (20463534).

Almost surely, 2^1311870960 is an apocalyptic number.

1311870960 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 1311870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455624080).

1311870960 is an abundant number, since it is smaller than the sum of its proper divisors (3599377200).

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

1311870960 is a wasteful number, since it uses less digits than its factorization.

1311870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1311870960 is about 36219.7592482336. The cubic root of 1311870960 is about 1094.7048431975.

The spelling of 1311870960 in words is "one billion, three hundred eleven million, eight hundred seventy thousand, nine hundred sixty".