86038784 has 72 divisors (see below), whose sum is σ = 187492032. Its totient is φ = 39168000.

The previous prime is 86038781. The next prime is 86038789. The reversal of 86038784 is 48783068.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86038781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342659 + ... + 342909.

It is an arithmetic number, because the mean of its divisors is an integer number (2604056).

Almost surely, 2^86038784 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 86038784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

86038784 is an abundant number, since it is smaller than the sum of its proper divisors (101453248).

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

86038784 is a wasteful number, since it uses less digits than its factorization.

86038784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 86038784 is about 9275.7093529282. The cubic root of 86038784 is about 441.4668400583.

The spelling of 86038784 in words is "eighty-six million, thirty-eight thousand, seven hundred eighty-four".