1311460920 has 768 divisors, whose sum is σ = 5919713280. Its totient is φ = 245329920.

The previous prime is 1311460879. The next prime is 1311460933. The reversal of 1311460920 is 290641131.

1311460920 is a `hidden beast` number, since 1 + 31 + 1 + 4 + 609 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57020029 + ... + 57020051.

It is an arithmetic number, because the mean of its divisors is an integer number (7707960).

Almost surely, 2^1311460920 is an apocalyptic number.

1311460920 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 1311460920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959856640).

1311460920 is an abundant number, since it is smaller than the sum of its proper divisors (4608252360).

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

1311460920 is a wasteful number, since it uses less digits than its factorization.

1311460920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1311460920 is about 36214.0983596168. The cubic root of 1311460920 is about 1094.5907772153.

The spelling of 1311460920 in words is "one billion, three hundred eleven million, four hundred sixty thousand, nine hundred twenty".