1311664320 has 112 divisors (see below), whose sum is σ = 4627290720. Its totient is φ = 349774848.

The previous prime is 1311664279. The next prime is 1311664351. The reversal of 1311664320 is 234661131.

1311664320 is a `hidden beast` number, since 1 + 3 + 1 + 16 + 643 + 2 + 0 = 666.

It is a super-2 number, since 2×1311664320² = 3440926576722124800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67267 + ... + 84546.

Almost surely, 2^1311664320 is an apocalyptic number.

1311664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311664320 is an abundant number, since it is smaller than the sum of its proper divisors (3315626400).

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

1311664320 is a wasteful number, since it uses less digits than its factorization.

1311664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151839 (or 151823 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1311664320 is about 36216.9065492899. The cubic root of 1311664320 is about 1094.6473625219.

The spelling of 1311664320 in words is "one billion, three hundred eleven million, six hundred sixty-four thousand, three hundred twenty".