85440000 has 200 divisors, whose sum is σ = 287626680. Its totient is φ = 22528000.

The previous prime is 85439989. The next prime is 85440007. The reversal of 85440000 is 4458.

It is a tau number, because it is divible by the number of its divisors (200).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959956 + ... + 960044.

Almost surely, 2^85440000 is an apocalyptic number.

85440000 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 85440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143813340).

85440000 is an abundant number, since it is smaller than the sum of its proper divisors (202186680).

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

85440000 is an frugal number, since it uses more digits than its factorization.

85440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 85440000 is about 9243.3760066331. The cubic root of 85440000 is about 440.4403305415.

Adding to 85440000 its reverse (4458), we get a palindrome (85444458).

The spelling of 85440000 in words is "eighty-five million, four hundred forty thousand".