86038464 has 56 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 28328704.

The previous prime is 86038429. The next prime is 86038471. The reversal of 86038464 is 46483068.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13237 + ... + 18635.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^86038464 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 86038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

86038464 is an abundant number, since it is smaller than the sum of its proper divisors (144390336).

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

86038464 is a wasteful number, since it uses less digits than its factorization.

86038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 86038464 is about 9275.6921035576. The cubic root of 86038464 is about 441.4662927486.

The spelling of 86038464 in words is "eighty-six million, thirty-eight thousand, four hundred sixty-four".