85416200 has 24 divisors (see below), whose sum is σ = 198593130. Its totient is φ = 34166400.

The previous prime is 85416197. The next prime is 85416209. The reversal of 85416200 is 261458.

It can be written as a sum of positive squares in 3 ways, for example, as 62125924 + 23290276 = 7882^2 + 4826^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85416200.

It is not an unprimeable number, because it can be changed into a prime (85416209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 213341 + ... + 213740.

Almost surely, 2^85416200 is an apocalyptic number.

It is an amenable number.

85416200 is an abundant number, since it is smaller than the sum of its proper divisors (113176930).

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

85416200 is a wasteful number, since it uses less digits than its factorization.

85416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427097 (or 427088 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 85416200 is about 9242.0885085569. The cubic root of 85416200 is about 440.3994306767.

Adding to 85416200 its reverse (261458), we get a palindrome (85677658).

It can be divided in two parts, 8541 and 6200, that added together give a palindrome (14741).

The spelling of 85416200 in words is "eighty-five million, four hundred sixteen thousand, two hundred".