85064760 has 96 divisors (see below), whose sum is σ = 301607280. Its totient is φ = 20620800.

The previous prime is 85064747. The next prime is 85064773. The reversal of 85064760 is 6746058.

It is a happy number.

85064760 is a `hidden beast` number, since 8 + 5 + 0 + 647 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85064747) and next prime (85064773).

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 23 ways as a sum of consecutive naturals, for example, 6781 + ... + 14700.

Almost surely, 2^85064760 is an apocalyptic number.

It is an amenable number.

85064760 is an abundant number, since it is smaller than the sum of its proper divisors (216542520).

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

85064760 is a wasteful number, since it uses less digits than its factorization.

85064760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21509 (or 21502 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 85064760 is about 9223.0558927071. The cubic root of 85064760 is about 439.7946011012.

The spelling of 85064760 in words is "eighty-five million, sixty-four thousand, seven hundred sixty".