85950864 has 60 divisors (see below), whose sum is σ = 241195500. Its totient is φ = 28572672.

The previous prime is 85950863. The next prime is 85950869. The reversal of 85950864 is 46805958.

85950864 is a `hidden beast` number, since 85 + 9 + 508 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47610000 + 38340864 = 6900^2 + 6192^2 .

It is not an unprimeable number, because it can be changed into a prime (85950863) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 81412 + ... + 82460.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^85950864 is an apocalyptic number.

It is an amenable number.

85950864 is an abundant number, since it is smaller than the sum of its proper divisors (155244636).

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

85950864 is a wasteful number, since it uses less digits than its factorization.

85950864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85950864 is about 9270.9688814061. The cubic root of 85950864 is about 441.3164156756.

The spelling of 85950864 in words is "eighty-five million, nine hundred fifty thousand, eight hundred sixty-four".