585749664 has 192 divisors, whose sum is σ = 1785732480. Its totient is φ = 186624000.

The previous prime is 585749629. The next prime is 585749677. The reversal of 585749664 is 466947585.

585749664 is a `hidden beast` number, since 5 + 8 + 574 + 9 + 6 + 64 = 666.

It is a super-2 number, since 2×585749664² = 686205337752225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 585749664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333539 + ... + 2333789.

It is an arithmetic number, because the mean of its divisors is an integer number (9300690).

Almost surely, 2^585749664 is an apocalyptic number.

585749664 is a gapful number since it is divisible by the number (54) 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 585749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892866240).

585749664 is an abundant number, since it is smaller than the sum of its proper divisors (1199982816).

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

585749664 is a wasteful number, since it uses less digits than its factorization.

585749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 585749664 is about 24202.2656790640. The cubic root of 585749664 is about 836.7017603695.

The spelling of 585749664 in words is "five hundred eighty-five million, seven hundred forty-nine thousand, six hundred sixty-four".