646324224 has 336 divisors, whose sum is σ = 2253252288. Its totient is φ = 160432128.

The previous prime is 646324223. The next prime is 646324229. The reversal of 646324224 is 422423646.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646324223) 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, 38019064 + ... + 38019080.

It is an arithmetic number, because the mean of its divisors is an integer number (6706108).

Almost surely, 2^646324224 is an apocalyptic number.

646324224 is a gapful number since it is divisible by the number (64) 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 646324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126626144).

646324224 is an abundant number, since it is smaller than the sum of its proper divisors (1606928064).

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

646324224 is a wasteful number, since it uses less digits than its factorization.

646324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 646324224 is about 25422.9074655123. The cubic root of 646324224 is about 864.6031453848.

The spelling of 646324224 in words is "six hundred forty-six million, three hundred twenty-four thousand, two hundred twenty-four".