86387616 has 144 divisors (see below), whose sum is σ = 285090624. Its totient is φ = 24302592.

The previous prime is 86387611. The next prime is 86387629. The reversal of 86387616 is 61678368.

86387616 is a `hidden beast` number, since 8 + 638 + 7 + 6 + 1 + 6 = 666.

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

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

Its product of digits (290304) is a multiple of the sum of its prime divisors (672).

It is not an unprimeable number, because it can be changed into a prime (86387611) 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 23 ways as a sum of consecutive naturals, for example, 146875 + ... + 147461.

It is an arithmetic number, because the mean of its divisors is an integer number (1979796).

Almost surely, 2^86387616 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 86387616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142545312).

86387616 is an abundant number, since it is smaller than the sum of its proper divisors (198703008).

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

86387616 is a wasteful number, since it uses less digits than its factorization.

86387616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 672 counting only the distinct ones).

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

The square root of 86387616 is about 9294.4938538901. The cubic root of 86387616 is about 442.0626570470.

The spelling of 86387616 in words is "eighty-six million, three hundred eighty-seven thousand, six hundred sixteen".