85599558 has 64 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 25440480.

The previous prime is 85599557. The next prime is 85599559.

85599558 is a `hidden beast` number, since 85 + 5 + 9 + 9 + 558 = 666.

85599558 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (85599557) and next prime (85599559).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85599551) 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 31 ways as a sum of consecutive naturals, for example, 30123 + ... + 32841.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2^85599558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85599558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

85599558 is an abundant number, since it is smaller than the sum of its proper divisors (125907642).

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

85599558 is a wasteful number, since it uses less digits than its factorization.

85599558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2788 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 54.

The square root of 85599558 is about 9252.0029182875. The cubic root of 85599558 is about 440.7143320913.

Subtracting from 85599558 its sum of digits (54), we obtain a square (85599504 = 9252²).

The spelling of 85599558 in words is "eighty-five million, five hundred ninety-nine thousand, five hundred fifty-eight".