85167688 has 32 divisors (see below), whose sum is σ = 171244800. Its totient is φ = 39566592.

The previous prime is 85167679. The next prime is 85167697. The reversal of 85167688 is 88676158.

It is an interprime number because it is at equal distance from previous prime (85167679) and next prime (85167697).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6781 + ... + 14707.

It is an arithmetic number, because the mean of its divisors is an integer number (5351400).

Almost surely, 2^85167688 is an apocalyptic number.

It is an amenable number.

85167688 is an abundant number, since it is smaller than the sum of its proper divisors (86077112).

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

85167688 is a wasteful number, since it uses less digits than its factorization.

85167688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8025 counting only the distinct ones).

The product of its digits is 645120, while the sum is 49.

The square root of 85167688 is about 9228.6341351253. The cubic root of 85167688 is about 439.9719128077.

The spelling of 85167688 in words is "eighty-five million, one hundred sixty-seven thousand, six hundred eighty-eight".