85585584 has 80 divisors (see below), whose sum is σ = 255237632. Its totient is φ = 24205824.

The previous prime is 85585579. The next prime is 85585603. The reversal of 85585584 is 48558558.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33372 + ... + 35844.

Almost surely, 2^85585584 is an apocalyptic number.

85585584 is a gapful number since it is divisible by the number (84) 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 85585584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127618816).

85585584 is an abundant number, since it is smaller than the sum of its proper divisors (169652048).

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

85585584 is a wasteful number, since it uses less digits than its factorization.

85585584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2588 counting only the distinct ones).

The product of its digits is 1280000, while the sum is 48.

The square root of 85585584 is about 9251.2476996349. The cubic root of 85585584 is about 440.6903488007.

The spelling of 85585584 in words is "eighty-five million, five hundred eighty-five thousand, five hundred eighty-four".