85604500 has 48 divisors (see below), whose sum is σ = 196822080. Its totient is φ = 32436000.

The previous prime is 85604489. The next prime is 85604501. The reversal of 85604500 is 540658.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85604501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4995 + ... + 14005.

It is an arithmetic number, because the mean of its divisors is an integer number (4100460).

Almost surely, 2^85604500 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 85604500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98411040).

85604500 is an abundant number, since it is smaller than the sum of its proper divisors (111217580).

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

85604500 is a wasteful number, since it uses less digits than its factorization.

85604500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 85604500 is about 9252.2699917372. The cubic root of 85604500 is about 440.7228133202.

The spelling of 85604500 in words is "eighty-five million, six hundred four thousand, five hundred".