86218080 has 192 divisors, whose sum is σ = 300500928. Its totient is φ = 20643840.

The previous prime is 86218061. The next prime is 86218081. The reversal of 86218080 is 8081268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86218081) 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 31 ways as a sum of consecutive naturals, for example, 255672 + ... + 256008.

It is an arithmetic number, because the mean of its divisors is an integer number (1565109).

Almost surely, 2^86218080 is an apocalyptic number.

86218080 is a gapful number since it is divisible by the number (80) 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 86218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150250464).

86218080 is an abundant number, since it is smaller than the sum of its proper divisors (214282848).

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

86218080 is a wasteful number, since it uses less digits than its factorization.

86218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 86218080 is about 9285.3691364426. The cubic root of 86218080 is about 441.7732844935.

The spelling of 86218080 in words is "eighty-six million, two hundred eighteen thousand, eighty".