323424640 has 128 divisors (see below), whose sum is σ = 964120320. Its totient is φ = 100792320.

The previous prime is 323424637. The next prime is 323424641. The reversal of 323424640 is 46424323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 323424599 and 323424608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323424641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45999 + ... + 52561.

It is an arithmetic number, because the mean of its divisors is an integer number (7532190).

Almost surely, 2^323424640 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 323424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482060160).

323424640 is an abundant number, since it is smaller than the sum of its proper divisors (640695680).

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

323424640 is a wasteful number, since it uses less digits than its factorization.

323424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 323424640 is about 17984.0106761534. The cubic root of 323424640 is about 686.4217473635.

Adding to 323424640 its reverse (46424323), we get a palindrome (369848963).

The spelling of 323424640 in words is "three hundred twenty-three million, four hundred twenty-four thousand, six hundred forty".