1305406836 has 36 divisors (see below), whose sum is σ = 3303072864. Its totient is φ = 434701200.

The previous prime is 1305406793. The next prime is 1305406847. The reversal of 1305406836 is 6386045031.

1305406836 is a `hidden beast` number, since 1 + 30 + 540 + 6 + 83 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1305406836.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19531 + ... + 54701.

It is an arithmetic number, because the mean of its divisors is an integer number (91752024).

Almost surely, 2^1305406836 is an apocalyptic number.

It is an amenable number.

1305406836 is an abundant number, since it is smaller than the sum of its proper divisors (1997666028).

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

1305406836 is a wasteful number, since it uses less digits than its factorization.

1305406836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36212 (or 36207 counting only the distinct ones).

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

The square root of 1305406836 is about 36130.4142793852. The cubic root of 1305406836 is about 1092.9038626115.

The spelling of 1305406836 in words is "one billion, three hundred five million, four hundred six thousand, eight hundred thirty-six".