322848 has 72 divisors (see below), whose sum is σ = 982800. Its totient is φ = 100224.

The previous prime is 322807. The next prime is 322849. The reversal of 322848 is 848223.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×322848² = 208461662208, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 322848.

It is not an unprimeable number, because it can be changed into a prime (322849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5443 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2³²²⁸⁴⁸ is an apocalyptic number.

322848 is a gapful number since it is divisible by the number (38) 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 322848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

322848 is an abundant number, since it is smaller than the sum of its proper divisors (659952).

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

322848 is a wasteful number, since it uses less digits than its factorization.

322848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 322848 is about 568.1971488841. The cubic root of 322848 is about 68.6013559842.

The spelling of 322848 in words is "three hundred twenty-two thousand, eight hundred forty-eight".