85309900 has 72 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 31203840.

The previous prime is 85309891. The next prime is 85309919. The reversal of 85309900 is 990358.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177861 + ... + 178339.

It is an arithmetic number, because the mean of its divisors is an integer number (2794960).

Almost surely, 2^85309900 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 85309900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100618560).

85309900 is an abundant number, since it is smaller than the sum of its proper divisors (115927220).

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

85309900 is a wasteful number, since it uses less digits than its factorization.

85309900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 85309900 is about 9236.3358535731. The cubic root of 85309900 is about 440.2166632664.

The spelling of 85309900 in words is "eighty-five million, three hundred nine thousand, nine hundred".