86048064 has 168 divisors, whose sum is σ = 262046720. Its totient is φ = 26956800.

The previous prime is 86048063. The next prime is 86048069. The reversal of 86048064 is 46084068.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86048063) 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 23 ways as a sum of consecutive naturals, for example, 1089177 + ... + 1089255.

Almost surely, 2^86048064 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 86048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131023360).

86048064 is an abundant number, since it is smaller than the sum of its proper divisors (175998656).

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

86048064 is a wasteful number, since it uses less digits than its factorization.

86048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86048064 is about 9276.2095707245. The cubic root of 86048064 is about 441.4827114471.

The spelling of 86048064 in words is "eighty-six million, forty-eight thousand, sixty-four".