85868601 has 32 divisors (see below), whose sum is σ = 144738048. Its totient is φ = 44064000.

The previous prime is 85868597. The next prime is 85868609. The reversal of 85868601 is 10686858.

It is not a de Polignac number, because 85868601 - 2² = 85868597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85868609) 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 31 ways as a sum of consecutive naturals, for example, 5851 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (4523064).

Almost surely, 2^85868601 is an apocalyptic number.

It is an amenable number.

85868601 is a deficient number, since it is larger than the sum of its proper divisors (58869447).

85868601 is a wasteful number, since it uses less digits than its factorization.

85868601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561.

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 85868601 is about 9266.5312280270. The cubic root of 85868601 is about 441.1755770659.

The spelling of 85868601 in words is "eighty-five million, eight hundred sixty-eight thousand, six hundred one".