1309827072 has 112 divisors (see below), whose sum is σ = 3523000320. Its totient is φ = 432832512.

The previous prime is 1309827061. The next prime is 1309827083. The reversal of 1309827072 is 2707289031.

It is an interprime number because it is at equal distance from previous prime (1309827061) and next prime (1309827083).

It is a self number, because there is not a number n which added to its sum of digits gives 1309827072.

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, 5480329 + ... + 5480567.

It is an arithmetic number, because the mean of its divisors is an integer number (31455360).

Almost surely, 2^1309827072 is an apocalyptic number.

1309827072 is a gapful number since it is divisible by the number (12) 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 1309827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761500160).

1309827072 is an abundant number, since it is smaller than the sum of its proper divisors (2213173248).

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

1309827072 is an equidigital number, since it uses as much as digits as its factorization.

1309827072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1309827072 is about 36191.5331534877. The cubic root of 1309827072 is about 1094.1360329135.

The spelling of 1309827072 in words is "one billion, three hundred nine million, eight hundred twenty-seven thousand, seventy-two".