85055600 has 120 divisors (see below), whose sum is σ = 240142368. Its totient is φ = 28339200.

The previous prime is 85055569. The next prime is 85055611. The reversal of 85055600 is 655058.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103190 + ... + 104010.

Almost surely, 2^85055600 is an apocalyptic number.

85055600 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 85055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120071184).

85055600 is an abundant number, since it is smaller than the sum of its proper divisors (155086768).

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

85055600 is a wasteful number, since it uses less digits than its factorization.

85055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 85055600 is about 9222.5592977221. The cubic root of 85055600 is about 439.7788144497.

The spelling of 85055600 in words is "eighty-five million, fifty-five thousand, six hundred".