85814000 has 80 divisors (see below), whose sum is σ = 209959776. Its totient is φ = 33920000.

The previous prime is 85813999. The next prime is 85814009. The reversal of 85814000 is 41858.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85814009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213800 + ... + 214200.

Almost surely, 2^85814000 is an apocalyptic number.

85814000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104979888).

85814000 is an abundant number, since it is smaller than the sum of its proper divisors (124145776).

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

85814000 is a wasteful number, since it uses less digits than its factorization.

85814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 515 counting only the distinct ones).

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

The square root of 85814000 is about 9263.5846193577. The cubic root of 85814000 is about 441.0820475921.

Adding to 85814000 its reverse (41858), we get a palindrome (85855858).

The spelling of 85814000 in words is "eighty-five million, eight hundred fourteen thousand".