86806720 has 224 divisors, whose sum is σ = 278562816. Its totient is φ = 24883200.

The previous prime is 86806711. The next prime is 86806747. The reversal of 86806720 is 2760868.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 86806720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320185 + ... + 320455.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 2^86806720 is an apocalyptic number.

86806720 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 86806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139281408).

86806720 is an abundant number, since it is smaller than the sum of its proper divisors (191756096).

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

86806720 is a wasteful number, since it uses less digits than its factorization.

86806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 86806720 is about 9317.0123966860. The cubic root of 86806720 is about 442.7763836682.

It can be divided in two parts, 8680 and 6720, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 86806720 in words is "eighty-six million, eight hundred six thousand, seven hundred twenty".