85364208 has 60 divisors (see below), whose sum is σ = 252961488. Its totient is φ = 26780160.

The previous prime is 85364183. The next prime is 85364233. The reversal of 85364208 is 80246358.

85364208 is a `hidden beast` number, since 8 + 5 + 3 + 642 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (85364183) and next prime (85364233).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 14988 + ... + 19883.

Almost surely, 2^85364208 is an apocalyptic number.

It is an amenable number.

85364208 is an abundant number, since it is smaller than the sum of its proper divisors (167597280).

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

85364208 is a wasteful number, since it uses less digits than its factorization.

85364208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34902 (or 34893 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85364208 is about 9239.2752962557. The cubic root of 85364208 is about 440.3100569414.

The spelling of 85364208 in words is "eighty-five million, three hundred sixty-four thousand, two hundred eight".