85500064 has 24 divisors (see below), whose sum is σ = 181277460. Its totient is φ = 39461376.

The previous prime is 85500061. The next prime is 85500071. The reversal of 85500064 is 46000558.

It can be written as a sum of positive squares in 2 ways, for example, as 84272400 + 1227664 = 9180^2 + 1108^2 .

It is a super-3 number, since 3×85500064³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (85500061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102349 + ... + 103180.

Almost surely, 2^85500064 is an apocalyptic number.

It is an amenable number.

85500064 is an abundant number, since it is smaller than the sum of its proper divisors (95777396).

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

85500064 is a wasteful number, since it uses less digits than its factorization.

85500064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205552 (or 205544 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 85500064 is about 9246.6244651765. The cubic root of 85500064 is about 440.5435156667.

The spelling of 85500064 in words is "eighty-five million, five hundred thousand, sixty-four".