85522800 has 360 divisors, whose sum is σ = 327201280. Its totient is φ = 19008000.

The previous prime is 85522783. The next prime is 85522813. The reversal of 85522800 is 822558.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 71 ways as a sum of consecutive naturals, for example, 2758785 + ... + 2758815.

Almost surely, 2^85522800 is an apocalyptic number.

85522800 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 85522800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163600640).

85522800 is an abundant number, since it is smaller than the sum of its proper divisors (241678480).

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

85522800 is a wasteful number, since it uses less digits than its factorization.

85522800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 85522800 is about 9247.8538050728. The cubic root of 85522800 is about 440.5825616790.

The spelling of 85522800 in words is "eighty-five million, five hundred twenty-two thousand, eight hundred".