85248000 has 288 divisors, whose sum is σ = 315577080. Its totient is φ = 22118400.

The previous prime is 85247971. The next prime is 85248001. The reversal of 85248000 is 84258.

It can be written as a sum of positive squares in 4 ways, for example, as 43877376 + 41370624 = 6624^2 + 6432^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (85248001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303982 + ... + 2304018.

Almost surely, 2^85248000 is an apocalyptic number.

85248000 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 85248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157788540).

85248000 is an abundant number, since it is smaller than the sum of its proper divisors (230329080).

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

85248000 is a wasteful number, since it uses less digits than its factorization.

85248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85248000 is about 9232.9843496022. The cubic root of 85248000 is about 440.1101652525.

The spelling of 85248000 in words is "eighty-five million, two hundred forty-eight thousand".