1309224816 has 80 divisors (see below), whose sum is σ = 3762814720. Its totient is φ = 435844800.

The previous prime is 1309224797. The next prime is 1309224817. The reversal of 1309224816 is 6184229031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309224817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457791 + ... + 460641.

It is an arithmetic number, because the mean of its divisors is an integer number (47035184).

Almost surely, 2^1309224816 is an apocalyptic number.

1309224816 is a gapful number since it is divisible by the number (16) 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 1309224816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881407360).

1309224816 is an abundant number, since it is smaller than the sum of its proper divisors (2453589904).

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

1309224816 is a wasteful number, since it uses less digits than its factorization.

1309224816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3919 counting only the distinct ones).

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

The square root of 1309224816 is about 36183.2117977385. The cubic root of 1309224816 is about 1093.9683133152.

The spelling of 1309224816 in words is "one billion, three hundred nine million, two hundred twenty-four thousand, eight hundred sixteen".