85768001 has 8 divisors (see below), whose sum is σ = 94162944. Its totient is φ = 77472720.

The previous prime is 85767971. The next prime is 85768019. The reversal of 85768001 is 10086758.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85768001 - 2⁶ = 85767937 is a prime.

It is a super-2 number, since 2×85768001² = 14712299991072002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85768061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23105 + ... + 26558.

It is an arithmetic number, because the mean of its divisors is an integer number (11770368).

Almost surely, 2^85768001 is an apocalyptic number.

It is an amenable number.

85768001 is a deficient number, since it is larger than the sum of its proper divisors (8394943).

85768001 is a wasteful number, since it uses less digits than its factorization.

85768001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49831.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 85768001 is about 9261.1015003616. The cubic root of 85768001 is about 441.0032222278.

The spelling of 85768001 in words is "eighty-five million, seven hundred sixty-eight thousand, one".