85363200 has 480 divisors, whose sum is σ = 355185600. Its totient is φ = 19906560.

The previous prime is 85363183. The next prime is 85363237. The reversal of 85363200 is 236358.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492791 + ... + 4492809.

It is an arithmetic number, because the mean of its divisors is an integer number (739970).

Almost surely, 2^85363200 is an apocalyptic number.

85363200 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 85363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

85363200 is an abundant number, since it is smaller than the sum of its proper divisors (269822400).

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

85363200 is a wasteful number, since it uses less digits than its factorization.

85363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 85363200 is about 9239.2207463617. The cubic root of 85363200 is about 440.3083238408.

Adding to 85363200 its reverse (236358), we get a palindrome (85599558).

The spelling of 85363200 in words is "eighty-five million, three hundred sixty-three thousand, two hundred".