85849000 has 48 divisors (see below), whose sum is σ = 201574620. Its totient is φ = 34222400.

The previous prime is 85848947. The next prime is 85849009. The reversal of 85849000 is 94858.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 38266596 + 47582404 = 6186^2 + 6898^2 .

It is not an unprimeable number, because it can be changed into a prime (85849009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292854 + ... + 293146.

Almost surely, 2^85849000 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 85849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100787310).

85849000 is an abundant number, since it is smaller than the sum of its proper divisors (115725620).

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

85849000 is an equidigital number, since it uses as much as digits as its factorization.

85849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 85849000 is about 9265.4735442934. The cubic root of 85849000 is about 441.1420058480.

The spelling of 85849000 in words is "eighty-five million, eight hundred forty-nine thousand".