86446224 has 160 divisors (see below), whose sum is σ = 267840000. Its totient is φ = 26597376.

The previous prime is 86446223. The next prime is 86446249. The reversal of 86446224 is 42264468.

It is a happy number.

86446224 is a `hidden beast` number, since 8 + 644 + 6 + 2 + 2 + 4 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (86446223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580102 + ... + 580250.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 2^86446224 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 86446224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920000).

86446224 is an abundant number, since it is smaller than the sum of its proper divisors (181393776).

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

86446224 is a wasteful number, since it uses less digits than its factorization.

86446224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 86446224 is about 9297.6461537316. The cubic root of 86446224 is about 442.1626040556.

The spelling of 86446224 in words is "eighty-six million, four hundred forty-six thousand, two hundred twenty-four".