8424864 has 144 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 2395008.

The previous prime is 8424853. The next prime is 8424869. The reversal of 8424864 is 4684248.

It is a tau number, because it is divible by the number of its divisors (144).

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 (8424869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42237 + ... + 42435.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 2^8424864 is an apocalyptic number.

8424864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8424864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

8424864 is an abundant number, since it is smaller than the sum of its proper divisors (20303136).

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

8424864 is a wasteful number, since it uses less digits than its factorization.

8424864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 8424864 is about 2902.5616272527. The cubic root of 8424864 is about 203.4796426742.

The spelling of 8424864 in words is "eight million, four hundred twenty-four thousand, eight hundred sixty-four".