86645416 has 128 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 33454080.

The previous prime is 86645401. The next prime is 86645441. The reversal of 86645416 is 61454668.

It is a happy number.

It is a super-2 number, since 2×86645416² = 15014856227626112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 973500 + ... + 973588.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^86645416 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 86645416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

86645416 is an abundant number, since it is smaller than the sum of its proper divisors (120196184).

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

86645416 is a wasteful number, since it uses less digits than its factorization.

86645416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 86645416 is about 9308.3519486534. The cubic root of 86645416 is about 442.5019583473.

The spelling of 86645416 in words is "eighty-six million, six hundred forty-five thousand, four hundred sixteen".