85968001 has 12 divisors (see below), whose sum is σ = 100187760. Its totient is φ = 73551240.

The previous prime is 85967969. The next prime is 85968011. The reversal of 85968001 is 10086958.

It is not a de Polignac number, because 85968001 - 2⁵ = 85967969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85968011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32590 + ... + 35128.

It is an arithmetic number, because the mean of its divisors is an integer number (8348980).

Almost surely, 2^85968001 is an apocalyptic number.

It is an amenable number.

85968001 is a deficient number, since it is larger than the sum of its proper divisors (14219759).

85968001 is a wasteful number, since it uses less digits than its factorization.

85968001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 85968001 is about 9271.8930645257. The cubic root of 85968001 is about 441.3457438153.

The spelling of 85968001 in words is "eighty-five million, nine hundred sixty-eight thousand, one".