85681800 has 288 divisors, whose sum is σ = 312792480. Its totient is φ = 21772800.

The previous prime is 85681787. The next prime is 85681807. The reversal of 85681800 is 818658.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85681807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1992579 + ... + 1992621.

It is an arithmetic number, because the mean of its divisors is an integer number (1086085).

Almost surely, 2^85681800 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 85681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

85681800 is an abundant number, since it is smaller than the sum of its proper divisors (227110680).

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

85681800 is a wasteful number, since it uses less digits than its factorization.

85681800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 85681800 is about 9256.4464023728. The cubic root of 85681800 is about 440.8554294961.

The spelling of 85681800 in words is "eighty-five million, six hundred eighty-one thousand, eight hundred".