85845200 has 240 divisors, whose sum is σ = 259792896. Its totient is φ = 26611200.

The previous prime is 85845197. The next prime is 85845203. The reversal of 85845200 is 254858.

It is an interprime number because it is at equal distance from previous prime (85845197) and next prime (85845203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85845203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996379 + ... + 1996421.

Almost surely, 2^85845200 is an apocalyptic number.

85845200 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 85845200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129896448).

85845200 is an abundant number, since it is smaller than the sum of its proper divisors (173947696).

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

85845200 is a wasteful number, since it uses less digits than its factorization.

85845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 85845200 is about 9265.2684796502. The cubic root of 85845200 is about 441.1354968832.

The spelling of 85845200 in words is "eighty-five million, eight hundred forty-five thousand, two hundred".