85683000 has 160 divisors (see below), whose sum is σ = 289607760. Its totient is φ = 21091200.

The previous prime is 85682959. The next prime is 85683007. The reversal of 85683000 is 38658.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85683007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6590994 + ... + 6591006.

Almost surely, 2^85683000 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 85683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144803880).

85683000 is an abundant number, since it is smaller than the sum of its proper divisors (203924760).

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

85683000 is an equidigital number, since it uses as much as digits as its factorization.

85683000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 85683000 is about 9256.5112218373. The cubic root of 85683000 is about 440.8574875918.

Multiplying 85683000 by its sum of digits (30), we get a square (2570490000 = 50700²).

85683000 divided by its sum of digits (30) gives a square (2856100 = 1690²).

The spelling of 85683000 in words is "eighty-five million, six hundred eighty-three thousand".