85381800 has 192 divisors, whose sum is σ = 313372800. Its totient is φ = 18816000.

The previous prime is 85381799. The next prime is 85381811. The reversal of 85381800 is 818358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121450 + ... + 122150.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^85381800 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 85381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

85381800 is an abundant number, since it is smaller than the sum of its proper divisors (227991000).

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

85381800 is a wasteful number, since it uses less digits than its factorization.

85381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 85381800 is about 9240.2272699323. The cubic root of 85381800 is about 440.3403014770.

The spelling of 85381800 in words is "eighty-five million, three hundred eighty-one thousand, eight hundred".