86684928 has 144 divisors (see below), whose sum is σ = 260585472. Its totient is φ = 25344000.

The previous prime is 86684879. The next prime is 86684957. The reversal of 86684928 is 82948668.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261723 + ... + 262053.

Almost surely, 2^86684928 is an apocalyptic number.

86684928 is a gapful number since it is divisible by the number (88) 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 86684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130292736).

86684928 is an abundant number, since it is smaller than the sum of its proper divisors (173900544).

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

86684928 is a wasteful number, since it uses less digits than its factorization.

86684928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 86684928 is about 9310.4741017845. The cubic root of 86684928 is about 442.5692113006.

The spelling of 86684928 in words is "eighty-six million, six hundred eighty-four thousand, nine hundred twenty-eight".