85608600 has 384 divisors, whose sum is σ = 353548800. Its totient is φ = 16588800.

The previous prime is 85608569. The next prime is 85608613. The reversal of 85608600 is 680658.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785346 + ... + 785454.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^85608600 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 85608600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

85608600 is an abundant number, since it is smaller than the sum of its proper divisors (267940200).

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

85608600 is a wasteful number, since it uses less digits than its factorization.

85608600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 85608600 is about 9252.4915563323. The cubic root of 85608600 is about 440.7298493003.

The spelling of 85608600 in words is "eighty-five million, six hundred eight thousand, six hundred".