85946679 has 48 divisors (see below), whose sum is σ = 161808192. Its totient is φ = 42660864.

The previous prime is 85946669. The next prime is 85946689. The reversal of 85946679 is 97664958.

It is an interprime number because it is at equal distance from previous prime (85946669) and next prime (85946689).

It is not a de Polignac number, because 85946679 - 2¹¹ = 85944631 is a prime.

It is a super-2 number, since 2×85946679² = 14773663262258082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85946669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10837 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (3371004).

Almost surely, 2^85946679 is an apocalyptic number.

85946679 is a deficient number, since it is larger than the sum of its proper divisors (75861513).

85946679 is a wasteful number, since it uses less digits than its factorization.

85946679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6213 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 85946679 is about 9270.7431740934. The cubic root of 85946679 is about 441.3092529042.

The spelling of 85946679 in words is "eighty-five million, nine hundred forty-six thousand, six hundred seventy-nine".