1306284630 has 256 divisors, whose sum is σ = 3887308800. Its totient is φ = 280433664.

The previous prime is 1306284601. The next prime is 1306284643. The reversal of 1306284630 is 364826031.

It is a junction number, because it is equal to n+sod(n) for n = 1306284591 and 1306284600.

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, 17894274 + ... + 17894346.

It is an arithmetic number, because the mean of its divisors is an integer number (15184800).

Almost surely, 2^1306284630 is an apocalyptic number.

1306284630 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 1306284630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943654400).

1306284630 is an abundant number, since it is smaller than the sum of its proper divisors (2581024170).

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

1306284630 is a wasteful number, since it uses less digits than its factorization.

1306284630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1306284630 is about 36142.5598152649. The cubic root of 1306284630 is about 1093.1487746386.

The spelling of 1306284630 in words is "one billion, three hundred six million, two hundred eighty-four thousand, six hundred thirty".