1306835640 has 256 divisors, whose sum is σ = 4869849600. Its totient is φ = 308966400.

The previous prime is 1306835633. The next prime is 1306835653. The reversal of 1306835640 is 465386031.

1306835640 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 8 + 3 + 5 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1306835595 and 1306835604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485739 + ... + 488421.

It is an arithmetic number, because the mean of its divisors is an integer number (19022850).

Almost surely, 2^1306835640 is an apocalyptic number.

1306835640 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 1306835640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434924800).

1306835640 is an abundant number, since it is smaller than the sum of its proper divisors (3563013960).

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

1306835640 is a wasteful number, since it uses less digits than its factorization.

1306835640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1306835640 is about 36150.1817422817. The cubic root of 1306835640 is about 1093.3024550900.

The spelling of 1306835640 in words is "one billion, three hundred six million, eight hundred thirty-five thousand, six hundred forty".