322832640 has 288 divisors, whose sum is σ = 1153797120. Its totient is φ = 76382208.

The previous prime is 322832633. The next prime is 322832683. The reversal of 322832640 is 46238223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 322832598 and 322832607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447569 + ... + 1447791.

It is an arithmetic number, because the mean of its divisors is an integer number (4006240).

Almost surely, 2^322832640 is an apocalyptic number.

322832640 is a gapful number since it is divisible by the number (30) 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 322832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576898560).

322832640 is an abundant number, since it is smaller than the sum of its proper divisors (830964480).

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

322832640 is a wasteful number, since it uses less digits than its factorization.

322832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 322832640 is about 17967.5440725771. The cubic root of 322832640 is about 686.0026802786.

The spelling of 322832640 in words is "three hundred twenty-two million, eight hundred thirty-two thousand, six hundred forty".