85806900 has 108 divisors (see below), whose sum is σ = 273163072. Its totient is φ = 22524480.

The previous prime is 85806899. The next prime is 85806943. The reversal of 85806900 is 960858.

It is a super-3 number, since 3×85806900³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59589 + ... + 61011.

Almost surely, 2^85806900 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 85806900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136581536).

85806900 is an abundant number, since it is smaller than the sum of its proper divisors (187356172).

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

85806900 is a wasteful number, since it uses less digits than its factorization.

85806900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85806900 is about 9263.2013904481. The cubic root of 85806900 is about 441.0698826427.

The spelling of 85806900 in words is "eighty-five million, eight hundred six thousand, nine hundred".