85058800 has 60 divisors (see below), whose sum is σ = 205284976. Its totient is φ = 33868800.

The previous prime is 85058789. The next prime is 85058821. The reversal of 85058800 is 885058.

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, 134485 + ... + 135115.

Almost surely, 2^85058800 is an apocalyptic number.

85058800 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 85058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102642488).

85058800 is an abundant number, since it is smaller than the sum of its proper divisors (120226176).

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

85058800 is a wasteful number, since it uses less digits than its factorization.

85058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 85058800 is about 9222.7327837252. The cubic root of 85058800 is about 439.7843295659.

It can be divided in two parts, 85058 and 800, that added together give a palindrome (85858).

The spelling of 85058800 in words is "eighty-five million, fifty-eight thousand, eight hundred".