86556768 has 48 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 28674176.

The previous prime is 86556763. The next prime is 86556773. The reversal of 86556768 is 86765568.

It is an interprime number because it is at equal distance from previous prime (86556763) and next prime (86556773).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86556768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86556763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13333 + ... + 18731.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^86556768 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 86556768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

86556768 is an abundant number, since it is smaller than the sum of its proper divisors (142057632).

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

86556768 is a wasteful number, since it uses less digits than its factorization.

86556768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5571 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 86556768 is about 9303.5889849025. The cubic root of 86556768 is about 442.3509971044.

The spelling of 86556768 in words is "eighty-six million, five hundred fifty-six thousand, seven hundred sixty-eight".