85555200 has 144 divisors (see below), whose sum is σ = 283341240. Its totient is φ = 22773760.

The previous prime is 85555187. The next prime is 85555207. The reversal of 85555200 is 255558.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85555207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153322 + ... + 153878.

Almost surely, 2^85555200 is an apocalyptic number.

85555200 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 85555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141670620).

85555200 is an abundant number, since it is smaller than the sum of its proper divisors (197786040).

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

85555200 is a wasteful number, since it uses less digits than its factorization.

85555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 85555200 is about 9249.6053969886. The cubic root of 85555200 is about 440.6381923519.

The spelling of 85555200 in words is "eighty-five million, five hundred fifty-five thousand, two hundred".