85811850 has 72 divisors (see below), whose sum is σ = 240600672. Its totient is φ = 21885600.

The previous prime is 85811849. The next prime is 85811851. The reversal of 85811850 is 5811858.

It is an interprime number because it is at equal distance from previous prime (85811849) and next prime (85811851).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85811851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6205 + ... + 14495.

It is an arithmetic number, because the mean of its divisors is an integer number (3341676).

Almost surely, 2^85811850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85811850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120300336).

85811850 is an abundant number, since it is smaller than the sum of its proper divisors (154788822).

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

85811850 is a wasteful number, since it uses less digits than its factorization.

85811850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 85811850 is about 9263.4685728403. The cubic root of 85811850 is about 441.0783639106.

The spelling of 85811850 in words is "eighty-five million, eight hundred eleven thousand, eight hundred fifty".