86684080 has 80 divisors (see below), whose sum is σ = 242484480. Its totient is φ = 28152576.

The previous prime is 86684077. The next prime is 86684089. The reversal of 86684080 is 8048668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (86684089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6567 + ... + 14713.

It is an arithmetic number, because the mean of its divisors is an integer number (3031056).

Almost surely, 2^86684080 is an apocalyptic number.

86684080 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 86684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121242240).

86684080 is an abundant number, since it is smaller than the sum of its proper divisors (155800400).

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

86684080 is a wasteful number, since it uses less digits than its factorization.

86684080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 86684080 is about 9310.4285615647. The cubic root of 86684080 is about 442.5677681435.

The spelling of 86684080 in words is "eighty-six million, six hundred eighty-four thousand, eighty".