86613408 has 96 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 24744960.

The previous prime is 86613407. The next prime is 86613431. The reversal of 86613408 is 80431668.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (86613403) 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, 1113 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^86613408 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 86613408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

86613408 is an abundant number, since it is smaller than the sum of its proper divisors (202118112).

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

86613408 is a wasteful number, since it uses less digits than its factorization.

86613408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86613408 is about 9306.6324736717. The cubic root of 86613408 is about 442.4474628807.

The spelling of 86613408 in words is "eighty-six million, six hundred thirteen thousand, four hundred eight".