85485888 has 112 divisors (see below), whose sum is σ = 255747520. Its totient is φ = 27993600.

The previous prime is 85485857. The next prime is 85485893. The reversal of 85485888 is 88858458.

It is a happy number.

85485888 is a `hidden beast` number, since 8 + 54 + 8 + 588 + 8 = 666.

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

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, 105003 + ... + 105813.

It is an arithmetic number, because the mean of its divisors is an integer number (2283460).

Almost surely, 2^85485888 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 85485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127873760).

85485888 is an abundant number, since it is smaller than the sum of its proper divisors (170261632).

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

85485888 is a wasteful number, since it uses less digits than its factorization.

85485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The square root of 85485888 is about 9245.8578833984. The cubic root of 85485888 is about 440.5191667958.

The spelling of 85485888 in words is "eighty-five million, four hundred eighty-five thousand, eight hundred eighty-eight".