1306395090 has 384 divisors, whose sum is σ = 4834432512. Its totient is φ = 235560960.

The previous prime is 1306395089. The next prime is 1306395091. The reversal of 1306395090 is 905936031.

1306395090 is a `hidden beast` number, since 13 + 0 + 639 + 5 + 0 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1306395089) and next prime (1306395091).

It is a super-2 number, since 2×1306395090² = 3413336262352216200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306395091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1531104 + ... + 1531956.

It is an arithmetic number, because the mean of its divisors is an integer number (12589668).

Almost surely, 2^1306395090 is an apocalyptic number.

1306395090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306395090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417216256).

1306395090 is an abundant number, since it is smaller than the sum of its proper divisors (3528037422).

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

1306395090 is a wasteful number, since it uses less digits than its factorization.

1306395090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 1306395090 is about 36144.0878982995. The cubic root of 1306395090 is about 1093.1795861497.

The spelling of 1306395090 in words is "one billion, three hundred six million, three hundred ninety-five thousand, ninety".