85188852 has 72 divisors (see below), whose sum is σ = 251160000. Its totient is φ = 24336144.

The previous prime is 85188827. The next prime is 85188877. The reversal of 85188852 is 25888158.

85188852 is a `hidden beast` number, since 8 + 518 + 88 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (85188827) and next prime (85188877).

It is a junction number, because it is equal to n+sod(n) for n = 85188798 and 85188807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8899 + ... + 15797.

Almost surely, 2^85188852 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 85188852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125580000).

85188852 is an abundant number, since it is smaller than the sum of its proper divisors (165971148).

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

85188852 is a wasteful number, since it uses less digits than its factorization.

85188852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6911 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The square root of 85188852 is about 9229.7807124547. The cubic root of 85188852 is about 440.0083538359.

The spelling of 85188852 in words is "eighty-five million, one hundred eighty-eight thousand, eight hundred fifty-two".