85155584 has 54 divisors (see below), whose sum is σ = 180722304. Its totient is φ = 40038400.

The previous prime is 85155569. The next prime is 85155599. The reversal of 85155584 is 48555158.

It is an interprime number because it is at equal distance from previous prime (85155569) and next prime (85155599).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 73409 + ... + 74559.

Almost surely, 2^85155584 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 85155584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90361152).

85155584 is an abundant number, since it is smaller than the sum of its proper divisors (95566720).

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

85155584 is a wasteful number, since it uses less digits than its factorization.

85155584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1170 counting only the distinct ones).

The product of its digits is 160000, while the sum is 41.

The square root of 85155584 is about 9227.9783268059. The cubic root of 85155584 is about 439.9510689389.

The spelling of 85155584 in words is "eighty-five million, one hundred fifty-five thousand, five hundred eighty-four".