1311582960 has 120 divisors (see below), whose sum is σ = 4477091424. Its totient is φ = 344010240.

The previous prime is 1311582959. The next prime is 1311582967. The reversal of 1311582960 is 692851131.

1311582960 is a `hidden beast` number, since 1 + 3 + 11 + 582 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (1311582967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28989 + ... + 58851.

Almost surely, 2^1311582960 is an apocalyptic number.

1311582960 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 1311582960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238545712).

1311582960 is an abundant number, since it is smaller than the sum of its proper divisors (3165508464).

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

1311582960 is a wasteful number, since it uses less digits than its factorization.

1311582960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29943 (or 29934 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1311582960 is about 36215.7832995505. The cubic root of 1311582960 is about 1094.6247291013.

The spelling of 1311582960 in words is "one billion, three hundred eleven million, five hundred eighty-two thousand, nine hundred sixty".