85845840 has 80 divisors (see below), whose sum is σ = 269179200. Its totient is φ = 22629376.

The previous prime is 85845839. The next prime is 85845847. The reversal of 85845840 is 4854858.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 85845792 and 85845801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85845847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19351 + ... + 23369.

It is an arithmetic number, because the mean of its divisors is an integer number (3364740).

Almost surely, 2^85845840 is an apocalyptic number.

85845840 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 85845840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134589600).

85845840 is an abundant number, since it is smaller than the sum of its proper divisors (183333360).

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

85845840 is a wasteful number, since it uses less digits than its factorization.

85845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 85845840 is about 9265.3030171711. The cubic root of 85845840 is about 441.1365931433.

The spelling of 85845840 in words is "eighty-five million, eight hundred forty-five thousand, eight hundred forty".