86689224 has 64 divisors (see below), whose sum is σ = 247334400. Its totient is φ = 28112832.

The previous prime is 86689219. The next prime is 86689241. The reversal of 86689224 is 42298668.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86689224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2569 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (3864600).

Almost surely, 2^86689224 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 86689224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123667200).

86689224 is an abundant number, since it is smaller than the sum of its proper divisors (160645176).

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

86689224 is a wasteful number, since it uses less digits than its factorization.

86689224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10899 (or 10889 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 86689224 is about 9310.7048068339. The cubic root of 86689224 is about 442.5765222444.

The spelling of 86689224 in words is "eighty-six million, six hundred eighty-nine thousand, two hundred twenty-four".