85936900 has 72 divisors (see below), whose sum is σ = 214361280. Its totient is φ = 29293440.

The previous prime is 85936897. The next prime is 85936913. The reversal of 85936900 is 963958.

It is a super-2 number, since 2×85936900² = 14770301563220000, which contains 22 as substring.

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, 204891 + ... + 205309.

It is an arithmetic number, because the mean of its divisors is an integer number (2977240).

Almost surely, 2^85936900 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 85936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107180640).

85936900 is an abundant number, since it is smaller than the sum of its proper divisors (128424380).

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

85936900 is a wasteful number, since it uses less digits than its factorization.

85936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 85936900 is about 9270.2157472197. The cubic root of 85936900 is about 441.2925149029.

The spelling of 85936900 in words is "eighty-five million, nine hundred thirty-six thousand, nine hundred".