86667616 has 48 divisors (see below), whose sum is σ = 200291616. Its totient is φ = 36135936.

The previous prime is 86667601. The next prime is 86667619. The reversal of 86667616 is 61676668.

It is a super-2 number, since 2×86667616² = 15022551326246912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86667619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060 + ... + 13516.

It is an arithmetic number, because the mean of its divisors is an integer number (4172742).

Almost surely, 2^86667616 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 86667616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100145808).

86667616 is an abundant number, since it is smaller than the sum of its proper divisors (113624000).

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

86667616 is a wasteful number, since it uses less digits than its factorization.

86667616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511 (or 10503 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 86667616 is about 9309.5443497520. The cubic root of 86667616 is about 442.5397472462.

The spelling of 86667616 in words is "eighty-six million, six hundred sixty-seven thousand, six hundred sixteen".