85848000 has 336 divisors, whose sum is σ = 334268064. Its totient is φ = 19353600.

The previous prime is 85847987. The next prime is 85848001. The reversal of 85848000 is 84858.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85848001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175964 + ... + 1176036.

Almost surely, 2^85848000 is an apocalyptic number.

85848000 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 85848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167134032).

85848000 is an abundant number, since it is smaller than the sum of its proper divisors (248420064).

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

85848000 is a wasteful number, since it uses less digits than its factorization.

85848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 85848000 is about 9265.4195803536. The cubic root of 85848000 is about 441.1402929811.

The spelling of 85848000 in words is "eighty-five million, eight hundred forty-eight thousand".