85809200 has 60 divisors (see below), whose sum is σ = 218300760. Its totient is φ = 32302080.

The previous prime is 85809167. The next prime is 85809203. The reversal of 85809200 is 290858.

It is not an unprimeable number, because it can be changed into a prime (85809203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (3638346).

Almost surely, 2^85809200 is an apocalyptic number.

85809200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109150380).

85809200 is an abundant number, since it is smaller than the sum of its proper divisors (132491560).

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

85809200 is a wasteful number, since it uses less digits than its factorization.

85809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 85809200 is about 9263.3255367605. The cubic root of 85809200 is about 441.0738234744.

The spelling of 85809200 in words is "eighty-five million, eight hundred nine thousand, two hundred".