86618784 has 96 divisors (see below), whose sum is σ = 261830016. Its totient is φ = 24560640.

The previous prime is 86618771. The next prime is 86618789. The reversal of 86618784 is 48781668.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86618789) 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, 105094 + ... + 105914.

It is an arithmetic number, because the mean of its divisors is an integer number (2727396).

Almost surely, 2^86618784 is an apocalyptic number.

86618784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86618784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130915008).

86618784 is an abundant number, since it is smaller than the sum of its proper divisors (175211232).

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

86618784 is a wasteful number, since it uses less digits than its factorization.

86618784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 86618784 is about 9306.9212954661. The cubic root of 86618784 is about 442.4566167689.

The spelling of 86618784 in words is "eighty-six million, six hundred eighteen thousand, seven hundred eighty-four".