85141800 has 96 divisors (see below), whose sum is σ = 293284800. Its totient is φ = 22703040.

The previous prime is 85141783. The next prime is 85141813. The reversal of 85141800 is 814158.

It is a super-2 number, since 2×85141800² = 14498252214480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2484 + ... + 13283.

It is an arithmetic number, because the mean of its divisors is an integer number (3055050).

Almost surely, 2^85141800 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 85141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146642400).

85141800 is an abundant number, since it is smaller than the sum of its proper divisors (208143000).

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

85141800 is a wasteful number, since it uses less digits than its factorization.

85141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15792 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85141800 is about 9227.2314374356. The cubic root of 85141800 is about 439.9273295962.

Adding to 85141800 its reverse (814158), we get a palindrome (85955958).

The spelling of 85141800 in words is "eighty-five million, one hundred forty-one thousand, eight hundred".