1306920630 has 64 divisors (see below), whose sum is σ = 3243921408. Its totient is φ = 336631680.

The previous prime is 1306920619. The next prime is 1306920631. The reversal of 1306920630 is 360296031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306920631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675144 + ... + 677076.

It is an arithmetic number, because the mean of its divisors is an integer number (50686272).

Almost surely, 2^1306920630 is an apocalyptic number.

1306920630 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 1306920630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621960704).

1306920630 is an abundant number, since it is smaller than the sum of its proper divisors (1937000778).

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

1306920630 is a wasteful number, since it uses less digits than its factorization.

1306920630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1306920630 is about 36151.3572359324. The cubic root of 1306920630 is about 1093.3261555357.

The spelling of 1306920630 in words is "one billion, three hundred six million, nine hundred twenty thousand, six hundred thirty".