85544000 has 168 divisors, whose sum is σ = 231126792. Its totient is φ = 31334400.

The previous prime is 85543993. The next prime is 85544047. The reversal of 85544000 is 44558.

It is a Cunningham number, because it is equal to 9249²-1.

It can be written as a sum of positive squares in 12 ways, for example, as 17909824 + 67634176 = 4232^2 + 8224^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311982 + ... + 2312018.

Almost surely, 2^85544000 is an apocalyptic number.

85544000 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 85544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115563396).

85544000 is an abundant number, since it is smaller than the sum of its proper divisors (145582792).

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

85544000 is a wasteful number, since it uses less digits than its factorization.

85544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 85544000 is about 9248.9999459401. Note that the first 4 decimals coincide. The cubic root of 85544000 is about 440.6189635845.

Adding to 85544000 its reverse (44558), we get a palindrome (85588558).

It can be divided in two parts, 85 and 544000, that multiplied together give a square (46240000 = 6800²).

The spelling of 85544000 in words is "eighty-five million, five hundred forty-four thousand".