85638312 has 48 divisors (see below), whose sum is σ = 232364340. Its totient is φ = 28493568.

The previous prime is 85638281. The next prime is 85638389. The reversal of 85638312 is 21383658.

85638312 is a `hidden beast` number, since 8 + 5 + 638 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81974916 + 3663396 = 9054^2 + 1914^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71188 + ... + 72380.

Almost surely, 2^85638312 is an apocalyptic number.

It is an amenable number.

85638312 is an abundant number, since it is smaller than the sum of its proper divisors (146726028).

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

85638312 is a wasteful number, since it uses less digits than its factorization.

85638312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2195 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 85638312 is about 9254.0970386094. The cubic root of 85638312 is about 440.7808311356.

The spelling of 85638312 in words is "eighty-five million, six hundred thirty-eight thousand, three hundred twelve".