86688088668 has 36 divisors (see below), whose sum is σ = 219369903480. Its totient is φ = 28864159776.

The previous prime is 86688088657. The next prime is 86688088679.

86688088668 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86688088657) and next prime (86688088679).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×86688088668² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86688088596 and 86688088605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294803 + ... + 1360106.

It is an arithmetic number, because the mean of its divisors is an integer number (6093608430).

Almost surely, 2^86688088668 is an apocalyptic number.

It is an amenable number.

86688088668 is an abundant number, since it is smaller than the sum of its proper divisors (132681814812).

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

86688088668 is a wasteful number, since it uses less digits than its factorization.

86688088668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655826 (or 2655821 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 86688088668 in words is "eighty-six billion, six hundred eighty-eight million, eighty-eight thousand, six hundred sixty-eight".