85896800 has 144 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 30374400.

The previous prime is 85896799. The next prime is 85896821. The reversal of 85896800 is 869858.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378287 + ... + 378513.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^85896800 is an apocalyptic number.

85896800 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 85896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

85896800 is an abundant number, since it is smaller than the sum of its proper divisors (149213152).

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

85896800 is a wasteful number, since it uses less digits than its factorization.

85896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 85896800 is about 9268.0526541448. The cubic root of 85896800 is about 441.2238653745.

The spelling of 85896800 in words is "eighty-five million, eight hundred ninety-six thousand, eight hundred".