85350600 has 72 divisors (see below), whose sum is σ = 286641810. Its totient is φ = 22759680.

The previous prime is 85350599. The next prime is 85350613. The reversal of 85350600 is 605358.

85350600 is a `hidden beast` number, since 8 + 5 + 3 + 50 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 45887076 + 39463524 = 6774^2 + 6282^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 21909 + ... + 25508.

Almost surely, 2^85350600 is an apocalyptic number.

It is an amenable number.

85350600 is an abundant number, since it is smaller than the sum of its proper divisors (201291210).

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

85350600 is a wasteful number, since it uses less digits than its factorization.

85350600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47439 (or 47427 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85350600 is about 9238.5388455101. The cubic root of 85350600 is about 440.2866589319.

Adding to 85350600 its reverse (605358), we get a palindrome (85955958).

The spelling of 85350600 in words is "eighty-five million, three hundred fifty thousand, six hundred".