1307731264 has 56 divisors (see below), whose sum is σ = 2971474880. Its totient is φ = 559374336.

The previous prime is 1307731199. The next prime is 1307731289. The reversal of 1307731264 is 4621377031.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1307731264² = 3420322117686075392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255967 + ... + 261025.

Almost surely, 2^1307731264 is an apocalyptic number.

1307731264 is a gapful number since it is divisible by the number (14) 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 1307731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485737440).

1307731264 is an abundant number, since it is smaller than the sum of its proper divisors (1663743616).

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

1307731264 is an equidigital number, since it uses as much as digits as its factorization.

1307731264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 1307731264 is about 36162.5671655097. The cubic root of 1307731264 is about 1093.5521585930.

The spelling of 1307731264 in words is "one billion, three hundred seven million, seven hundred thirty-one thousand, two hundred sixty-four".