85355200 has 84 divisors (see below), whose sum is σ = 240062512. Its totient is φ = 29260800.

The previous prime is 85355167. The next prime is 85355213. The reversal of 85355200 is 255358.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7390 + ... + 15010.

Almost surely, 2^85355200 is an apocalyptic number.

85355200 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 85355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120031256).

85355200 is an abundant number, since it is smaller than the sum of its proper divisors (154707312).

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

85355200 is a wasteful number, since it uses less digits than its factorization.

85355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 85355200 is about 9238.7877992732. The cubic root of 85355200 is about 440.2945685902.

The spelling of 85355200 in words is "eighty-five million, three hundred fifty-five thousand, two hundred".