85585842 has 32 divisors (see below), whose sum is σ = 200203200. Its totient is φ = 27026784.

The previous prime is 85585789. The next prime is 85585849. The reversal of 85585842 is 24858558.

85585842 is a `hidden beast` number, since 8 + 558 + 58 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (85585849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40683 + ... + 42734.

It is an arithmetic number, because the mean of its divisors is an integer number (6256350).

Almost surely, 2^85585842 is an apocalyptic number.

85585842 is an abundant number, since it is smaller than the sum of its proper divisors (114617358).

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

85585842 is a wasteful number, since it uses less digits than its factorization.

85585842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83447 (or 83441 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 85585842 is about 9251.2616436895. The cubic root of 85585842 is about 440.6907916245.

It can be divided in two parts, 8558 and 5842, that added together give a square (14400 = 120²).

The spelling of 85585842 in words is "eighty-five million, five hundred eighty-five thousand, eight hundred forty-two".