85605500 has 48 divisors (see below), whose sum is σ = 187902624. Its totient is φ = 34070400.

The previous prime is 85605491. The next prime is 85605503. The reversal of 85605500 is 550658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85605503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156227 + ... + 156773.

It is an arithmetic number, because the mean of its divisors is an integer number (3914638).

Almost surely, 2^85605500 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 85605500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93951312).

85605500 is an abundant number, since it is smaller than the sum of its proper divisors (102297124).

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

85605500 is a wasteful number, since it uses less digits than its factorization.

85605500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

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

The square root of 85605500 is about 9252.3240323715. The cubic root of 85605500 is about 440.7245294336.

The spelling of 85605500 in words is "eighty-five million, six hundred five thousand, five hundred".