585199104 has 160 divisors (see below), whose sum is σ = 1831120896. Its totient is φ = 162570240.

The previous prime is 585199103. The next prime is 585199163. The reversal of 585199104 is 401991585.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585199103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397089 + ... + 398559.

Almost surely, 2^585199104 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 585199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915560448).

585199104 is an abundant number, since it is smaller than the sum of its proper divisors (1245921792).

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

585199104 is a wasteful number, since it uses less digits than its factorization.

585199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 585199104 is about 24190.8888633717. Note that the first 4 decimals coincide. The cubic root of 585199104 is about 836.4395329189.

The spelling of 585199104 in words is "five hundred eighty-five million, one hundred ninety-nine thousand, one hundred four".