845585664 has 288 divisors, whose sum is σ = 2857021440. Its totient is φ = 215654400.

The previous prime is 845585591. The next prime is 845585677. The reversal of 845585664 is 466585548.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4671654 + ... + 4671834.

Almost surely, 2^845585664 is an apocalyptic number.

845585664 is a gapful number since it is divisible by the number (84) 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 845585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428510720).

845585664 is an abundant number, since it is smaller than the sum of its proper divisors (2011435776).

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

845585664 is a wasteful number, since it uses less digits than its factorization.

845585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The square root of 845585664 is about 29078.9556896392. The cubic root of 845585664 is about 945.6255626806.

The spelling of 845585664 in words is "eight hundred forty-five million, five hundred eighty-five thousand, six hundred sixty-four".