85401800 has 72 divisors (see below), whose sum is σ = 218312850. Its totient is φ = 31046400.

The previous prime is 85401791. The next prime is 85401803. The reversal of 85401800 is 810458.

It can be written as a sum of positive squares in 3 ways, for example, as 43850884 + 41550916 = 6622^2 + 6446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85401800.

It is not an unprimeable number, because it can be changed into a prime (85401803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22436 + ... + 25964.

Almost surely, 2^85401800 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 85401800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109156425).

85401800 is an abundant number, since it is smaller than the sum of its proper divisors (132911050).

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

85401800 is a wasteful number, since it uses less digits than its factorization.

85401800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 85401800 is about 9241.3094310276. The cubic root of 85401800 is about 440.3746808509.

The spelling of 85401800 in words is "eighty-five million, four hundred one thousand, eight hundred".