323648 has 28 divisors (see below), whose sum is σ = 693420. Its totient is φ = 148992.

The previous prime is 323647. The next prime is 323651. The reversal of 323648 is 846323.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 262144 = 248^2 + 512^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 323648.

It is not an unprimeable number, because it can be changed into a prime (323641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (24765).

2³²³⁶⁴⁸ 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 323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346710).

323648 is an abundant number, since it is smaller than the sum of its proper divisors (369772).

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

323648 is a wasteful number, since it uses less digits than its factorization.

323648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 323648 is about 568.9006943220. The cubic root of 323648 is about 68.6579727370.

The spelling of 323648 in words is "three hundred twenty-three thousand, six hundred forty-eight".