1309603680 has 768 divisors, whose sum is σ = 5945425920. Its totient is φ = 261273600.

The previous prime is 1309603679. The next prime is 1309603703. The reversal of 1309603680 is 863069031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311777 + ... + 10311903.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2^1309603680 is an apocalyptic number.

1309603680 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 1309603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972712960).

1309603680 is an abundant number, since it is smaller than the sum of its proper divisors (4635822240).

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

1309603680 is a wasteful number, since it uses less digits than its factorization.

1309603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1309603680 is about 36188.4467751795. The cubic root of 1309603680 is about 1094.0738274671.

The spelling of 1309603680 in words is "one billion, three hundred nine million, six hundred three thousand, six hundred eighty".