1306494720 has 432 divisors, whose sum is σ = 4897751040. Its totient is φ = 320495616.

The previous prime is 1306494719. The next prime is 1306494769. The reversal of 1306494720 is 274946031.

1306494720 is a `hidden beast` number, since 1 + 3 + 0 + 649 + 4 + 7 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10287297 + ... + 10287423.

Almost surely, 2^1306494720 is an apocalyptic number.

1306494720 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 1306494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448875520).

1306494720 is an abundant number, since it is smaller than the sum of its proper divisors (3591256320).

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

1306494720 is a wasteful number, since it uses less digits than its factorization.

1306494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1306494720 is about 36145.4661057234. The cubic root of 1306494720 is about 1093.2073752707.

The spelling of 1306494720 in words is "one billion, three hundred six million, four hundred ninety-four thousand, seven hundred twenty".