86704128 has 204 divisors, whose sum is σ = 298841880. Its totient is φ = 24772608.

The previous prime is 86704127. The next prime is 86704139. The reversal of 86704128 is 82140768.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86704092 and 86704101.

It is not an unprimeable number, because it can be changed into a prime (86704127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12386301 + ... + 12386307.

Almost surely, 2^86704128 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 86704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149420940).

86704128 is an abundant number, since it is smaller than the sum of its proper divisors (212137752).

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

86704128 is an frugal number, since it uses more digits than its factorization.

86704128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86704128 is about 9311.5051414903. The cubic root of 86704128 is about 442.6018840376.

The spelling of 86704128 in words is "eighty-six million, seven hundred four thousand, one hundred twenty-eight".