85044600 has 96 divisors (see below), whose sum is σ = 292950000. Its totient is φ = 22677120.

The previous prime is 85044599. The next prime is 85044629. The reversal of 85044600 is 644058.

85044600 is a `hidden beast` number, since 8 + 50 + 4 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2475 + ... + 13274.

Almost surely, 2^85044600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85044600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146475000).

85044600 is an abundant number, since it is smaller than the sum of its proper divisors (207905400).

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

85044600 is a wasteful number, since it uses less digits than its factorization.

85044600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15774 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85044600 is about 9221.9629146945. The cubic root of 85044600 is about 439.7598551826.

Adding to 85044600 its reverse (644058), we get a palindrome (85688658).

The spelling of 85044600 in words is "eighty-five million, forty-four thousand, six hundred".