85166800 has 30 divisors (see below), whose sum is σ = 204614198. Its totient is φ = 34066560.

The previous prime is 85166791. The next prime is 85166801. The reversal of 85166800 is 866158.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10816 + 85155984 = 104^2 + 9228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85166801) 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, 106059 + ... + 106858.

Almost surely, 2^85166800 is an apocalyptic number.

85166800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85166800 is an abundant number, since it is smaller than the sum of its proper divisors (119447398).

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

85166800 is a wasteful number, since it uses less digits than its factorization.

85166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212935 (or 212924 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 85166800 is about 9228.5860238717. The cubic root of 85166800 is about 439.9703836815.

The spelling of 85166800 in words is "eighty-five million, one hundred sixty-six thousand, eight hundred".