86122168 has 32 divisors (see below), whose sum is σ = 177208560. Its totient is φ = 38913280.

The previous prime is 86122147. The next prime is 86122171.

86122168 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12396 + ... + 18052.

Almost surely, 2^86122168 is an apocalyptic number.

86122168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86122168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88604280).

86122168 is an abundant number, since it is smaller than the sum of its proper divisors (91086392).

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

86122168 is a wasteful number, since it uses less digits than its factorization.

86122168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5843 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 86122168 is about 9280.2030150207. The cubic root of 86122168 is about 441.6094090404.

The spelling of 86122168 in words is "eighty-six million, one hundred twenty-two thousand, one hundred sixty-eight".