1310683680 has 336 divisors, whose sum is σ = 4923143064. Its totient is φ = 328458240.

The previous prime is 1310683679. The next prime is 1310683709. The reversal of 1310683680 is 863860131.

It can be written as a sum of positive squares in 4 ways, for example, as 1277919504 + 32764176 = 35748^2 + 5724^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982550 + ... + 1983210.

Almost surely, 2^1310683680 is an apocalyptic number.

1310683680 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 1310683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461571532).

1310683680 is an abundant number, since it is smaller than the sum of its proper divisors (3612459384).

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

1310683680 is an equidigital number, since it uses as much as digits as its factorization.

1310683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1310683680 is about 36203.3655894034. The cubic root of 1310683680 is about 1094.3744973282.

The spelling of 1310683680 in words is "one billion, three hundred ten million, six hundred eighty-three thousand, six hundred eighty".