85676769 has 24 divisors (see below), whose sum is σ = 127258560. Its totient is φ = 55514592.

The previous prime is 85676749. The next prime is 85676783. The reversal of 85676769 is 96767658.

It is a happy number.

85676769 is a `hidden beast` number, since 8 + 567 + 6 + 76 + 9 = 666.

It is not a de Polignac number, because 85676769 - 2⁹ = 85676257 is a prime.

It is a super-2 number, since 2×85676769² = 14681017492558722, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (85676749) 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 23 ways as a sum of consecutive naturals, for example, 103692 + ... + 104514.

It is an arithmetic number, because the mean of its divisors is an integer number (5302440).

Almost surely, 2^85676769 is an apocalyptic number.

It is an amenable number.

85676769 is a deficient number, since it is larger than the sum of its proper divisors (41581791).

85676769 is a wasteful number, since it uses less digits than its factorization.

85676769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1138 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 85676769 is about 9256.1746418269. The cubic root of 85676769 is about 440.8468007205.

The spelling of 85676769 in words is "eighty-five million, six hundred seventy-six thousand, seven hundred sixty-nine".