86838064 has 80 divisors (see below), whose sum is σ = 185702400. Its totient is φ = 39207168.

The previous prime is 86838053. The next prime is 86838067. The reversal of 86838064 is 46083868.

It is a self number, because there is not a number n which added to its sum of digits gives 86838064.

It is not an unprimeable number, because it can be changed into a prime (86838067) 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 15 ways as a sum of consecutive naturals, for example, 843037 + ... + 843139.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2^86838064 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 86838064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200).

86838064 is an abundant number, since it is smaller than the sum of its proper divisors (98864336).

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

86838064 is a wasteful number, since it uses less digits than its factorization.

86838064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 86838064 is about 9318.6943291429. The cubic root of 86838064 is about 442.8296695310.

The spelling of 86838064 in words is "eighty-six million, eight hundred thirty-eight thousand, sixty-four".