1309248640 has 192 divisors, whose sum is σ = 3692122560. Its totient is φ = 442595328.

The previous prime is 1309248569. The next prime is 1309248641. The reversal of 1309248640 is 468429031.

It is a self number, because there is not a number n which added to its sum of digits gives 1309248640.

It is not an unprimeable number, because it can be changed into a prime (1309248641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2602629 + ... + 2603131.

It is an arithmetic number, because the mean of its divisors is an integer number (19229805).

Almost surely, 2^1309248640 is an apocalyptic number.

1309248640 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 1309248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846061280).

1309248640 is an abundant number, since it is smaller than the sum of its proper divisors (2382873920).

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

1309248640 is an equidigital number, since it uses as much as digits as its factorization.

1309248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1309248640 is about 36183.5410096911. The cubic root of 1309248640 is about 1093.9749489321.

The spelling of 1309248640 in words is "one billion, three hundred nine million, two hundred forty-eight thousand, six hundred forty".