1306072680 has 128 divisors (see below), whose sum is σ = 4283020800. Its totient is φ = 315987200.

The previous prime is 1306072679. The next prime is 1306072721. The reversal of 1306072680 is 862706031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281211 + ... + 1282229.

It is an arithmetic number, because the mean of its divisors is an integer number (33461100).

Almost surely, 2^1306072680 is an apocalyptic number.

1306072680 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 1306072680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141510400).

1306072680 is an abundant number, since it is smaller than the sum of its proper divisors (2976948120).

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

1306072680 is a wasteful number, since it uses less digits than its factorization.

1306072680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1306072680 is about 36139.6275575718. The cubic root of 1306072680 is about 1093.0896488275.

The spelling of 1306072680 in words is "one billion, three hundred six million, seventy-two thousand, six hundred eighty".