85200000 has 192 divisors, whose sum is σ = 286856640. Its totient is φ = 22400000.

The previous prime is 85199993. The next prime is 85200013. The reversal of 85200000 is 258.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199965 + ... + 1200035.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^85200000 is an apocalyptic number.

85200000 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 85200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

85200000 is an abundant number, since it is smaller than the sum of its proper divisors (201656640).

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

85200000 is an frugal number, since it uses more digits than its factorization.

85200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 85200000 is about 9230.3846073715. The cubic root of 85200000 is about 440.0275464848.

Adding to 85200000 its reverse (258), we get a palindrome (85200258).

The spelling of 85200000 in words is "eighty-five million, two hundred thousand".