1585338264 has 256 divisors, whose sum is σ = 5073408000. Its totient is φ = 455362560.

The previous prime is 1585338257. The next prime is 1585338329. The reversal of 1585338264 is 4628335851.

1585338264 is a `hidden beast` number, since 1 + 58 + 5 + 338 + 264 = 666.

It is a super-2 number, since 2×1585338264² = 5026594822605067392, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2162442 + ... + 2163174.

It is an arithmetic number, because the mean of its divisors is an integer number (19818000).

Almost surely, 2^1585338264 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 1585338264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536704000).

1585338264 is an abundant number, since it is smaller than the sum of its proper divisors (3488069736).

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

1585338264 is a wasteful number, since it uses less digits than its factorization.

1585338264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1585338264 is about 39816.3065087660. The cubic root of 1585338264 is about 1166.0235287754.

The spelling of 1585338264 in words is "one billion, five hundred eighty-five million, three hundred thirty-eight thousand, two hundred sixty-four".