85506668 has 48 divisors (see below), whose sum is σ = 171841824. Its totient is φ = 36879360.

The previous prime is 85506637. The next prime is 85506671. The reversal of 85506668 is 86660558.

It is a super-2 number, since 2×85506668² = 14622780544924448, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 173903 + ... + 174393.

It is an arithmetic number, because the mean of its divisors is an integer number (3580038).

Almost surely, 2^85506668 is an apocalyptic number.

It is an amenable number.

85506668 is an abundant number, since it is smaller than the sum of its proper divisors (86335156).

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

85506668 is a wasteful number, since it uses less digits than its factorization.

85506668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 85506668 is about 9246.9815615692. The cubic root of 85506668 is about 440.5548578588.

The spelling of 85506668 in words is "eighty-five million, five hundred six thousand, six hundred sixty-eight".