86135616 has 112 divisors (see below), whose sum is σ = 289438080. Its totient is φ = 24606720.

The previous prime is 86135611. The next prime is 86135627. The reversal of 86135616 is 61653168.

It is a happy number.

86135616 is a `hidden beast` number, since 8 + 6 + 1 + 35 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86135611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8536 + ... + 15656.

Almost surely, 2^86135616 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 86135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144719040).

86135616 is an abundant number, since it is smaller than the sum of its proper divisors (203302464).

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

86135616 is a wasteful number, since it uses less digits than its factorization.

86135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7133 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 86135616 is about 9280.9275398529. The cubic root of 86135616 is about 441.6323936539.

The spelling of 86135616 in words is "eighty-six million, one hundred thirty-five thousand, six hundred sixteen".