86672827668 has 96 divisors (see below), whose sum is σ = 243691786240. Its totient is φ = 23421778560.

The previous prime is 86672827667. The next prime is 86672827729.

86672827668 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×86672827668⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86672827599 and 86672827608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86672827667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934053 + ... + 1022643.

Almost surely, 2^86672827668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86672827668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121845893120).

86672827668 is an abundant number, since it is smaller than the sum of its proper divisors (157018958572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86672827668 is a wasteful number, since it uses less digits than its factorization.

86672827668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89237 (or 89235 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 66.

The spelling of 86672827668 in words is "eighty-six billion, six hundred seventy-two million, eight hundred twenty-seven thousand, six hundred sixty-eight".