85883200 has 84 divisors (see below), whose sum is σ = 227637340. Its totient is φ = 31703040.

The previous prime is 85883197. The next prime is 85883221. The reversal of 85883200 is 238858.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8020224 + 77862976 = 2832^2 + 8824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18736 + ... + 22864.

Almost surely, 2^85883200 is an apocalyptic number.

85883200 is a gapful number since it is divisible by the number (80) 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 85883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113818670).

85883200 is an abundant number, since it is smaller than the sum of its proper divisors (141754140).

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

85883200 is a wasteful number, since it uses less digits than its factorization.

85883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85883200 is about 9267.3189218889. The cubic root of 85883200 is about 441.2005778896.

The spelling of 85883200 in words is "eighty-five million, eight hundred eighty-three thousand, two hundred".