85518800 has 60 divisors (see below), whose sum is σ = 208590816. Its totient is φ = 33686400.

The previous prime is 85518793. The next prime is 85518817. The reversal of 85518800 is 881558.

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, 25205 + ... + 28395.

Almost surely, 2^85518800 is an apocalyptic number.

85518800 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 85518800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104295408).

85518800 is an abundant number, since it is smaller than the sum of its proper divisors (123072016).

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

85518800 is a wasteful number, since it uses less digits than its factorization.

85518800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The square root of 85518800 is about 9247.6375361494. The cubic root of 85518800 is about 440.5756927204.

The spelling of 85518800 in words is "eighty-five million, five hundred eighteen thousand, eight hundred".