1305857664 has 96 divisors (see below), whose sum is σ = 3783131040. Its totient is φ = 432345600.

The previous prime is 1305857629. The next prime is 1305857677. The reversal of 1305857664 is 4667585031.

1305857664 is a `hidden beast` number, since 1 + 3 + 0 + 585 + 7 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170199 + ... + 177705.

It is an arithmetic number, because the mean of its divisors is an integer number (39407615).

Almost surely, 2^1305857664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891565520).

1305857664 is an abundant number, since it is smaller than the sum of its proper divisors (2477273376).

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

1305857664 is a wasteful number, since it uses less digits than its factorization.

1305857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1305857664 is about 36136.6526396677. The cubic root of 1305857664 is about 1093.0296611850.

The spelling of 1305857664 in words is "one billion, three hundred five million, eight hundred fifty-seven thousand, six hundred sixty-four".