1309104720 has 640 divisors, whose sum is σ = 5965332480. Its totient is φ = 255467520.

The previous prime is 1309104701. The next prime is 1309104739. The reversal of 1309104720 is 274019031.

It is an interprime number because it is at equal distance from previous prime (1309104701) and next prime (1309104739).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2827209 + ... + 2827671.

It is an arithmetic number, because the mean of its divisors is an integer number (9320832).

Almost surely, 2^1309104720 is an apocalyptic number.

1309104720 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 1309104720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982666240).

1309104720 is an abundant number, since it is smaller than the sum of its proper divisors (4656227760).

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

1309104720 is a wasteful number, since it uses less digits than its factorization.

1309104720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1309104720 is about 36181.5522055094. The cubic root of 1309104720 is about 1093.9348621629.

The spelling of 1309104720 in words is "one billion, three hundred nine million, one hundred four thousand, seven hundred twenty".