86153616 has 60 divisors (see below), whose sum is σ = 242414172. Its totient is φ = 28562688.

The previous prime is 86153611. The next prime is 86153633. The reversal of 86153616 is 61635168.

It is a happy number.

86153616 is a `hidden beast` number, since 8 + 615 + 36 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79923600 + 6230016 = 8940^2 + 2496^2 .

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

It is not an unprimeable number, because it can be changed into a prime (86153611) 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, 26850 + ... + 29886.

Almost surely, 2^86153616 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 86153616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121207086).

86153616 is an abundant number, since it is smaller than the sum of its proper divisors (156260556).

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

86153616 is a wasteful number, since it uses less digits than its factorization.

86153616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3239 counting only the distinct ones).

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

The square root of 86153616 is about 9281.8972198576. The cubic root of 86153616 is about 441.6631545625.

The spelling of 86153616 in words is "eighty-six million, one hundred fifty-three thousand, six hundred sixteen".