1311932160 has 1152 divisors, whose sum is σ = 6357657600. Its totient is φ = 247726080.

The previous prime is 1311932093. The next prime is 1311932191. The reversal of 1311932160 is 612391131.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45239026 + ... + 45239054.

It is an arithmetic number, because the mean of its divisors is an integer number (5518800).

Almost surely, 2^1311932160 is an apocalyptic number.

1311932160 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 1311932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178828800).

1311932160 is an abundant number, since it is smaller than the sum of its proper divisors (5045725440).

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

1311932160 is a wasteful number, since it uses less digits than its factorization.

1311932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1311932160 is about 36220.6040811028. The cubic root of 1311932160 is about 1094.7218659324.

The spelling of 1311932160 in words is "one billion, three hundred eleven million, nine hundred thirty-two thousand, one hundred sixty".