85185888 has 48 divisors (see below), whose sum is σ = 226328256. Its totient is φ = 28050560.

The previous prime is 85185887. The next prime is 85185899. The reversal of 85185888 is 88858158.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85185888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85185883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2623 + ... + 13313.

It is an arithmetic number, because the mean of its divisors is an integer number (4715172).

Almost surely, 2^85185888 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 85185888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113164128).

85185888 is an abundant number, since it is smaller than the sum of its proper divisors (141142368).

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

85185888 is a wasteful number, since it uses less digits than its factorization.

85185888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10787 (or 10779 counting only the distinct ones).

The product of its digits is 819200, while the sum is 51.

The square root of 85185888 is about 9229.6201438629. The cubic root of 85185888 is about 440.0032506647.

The spelling of 85185888 in words is "eighty-five million, one hundred eighty-five thousand, eight hundred eighty-eight".