86390784 has 144 divisors (see below), whose sum is σ = 257657400. Its totient is φ = 27869184.

The previous prime is 86390779. The next prime is 86390789. The reversal of 86390784 is 48709368.

It is a happy number.

86390784 is a `hidden beast` number, since 8 + 639 + 0 + 7 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86390779) and next prime (86390789).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86390789) 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, 792522 + ... + 792630.

Almost surely, 2^86390784 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 86390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128828700).

86390784 is an abundant number, since it is smaller than the sum of its proper divisors (171266616).

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

86390784 is a wasteful number, since it uses less digits than its factorization.

86390784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 86390784 is about 9294.6642758090. The cubic root of 86390784 is about 442.0680607435.

The spelling of 86390784 in words is "eighty-six million, three hundred ninety thousand, seven hundred eighty-four".