322624 has 21 divisors (see below), whose sum is σ = 649351. Its totient is φ = 159040.

The previous prime is 322613. The next prime is 322627. The reversal of 322624 is 426223.

The square root of 322624 is 568.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (322627) 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 2 ways as a sum of consecutive naturals, for example, 4509 + ... + 4579.

322624 is a Friedman number, since it can be written as ((6*4)^2-2^3)^2, using all its digits and the basic arithmetic operations.

2³²²⁶²⁴ is an apocalyptic number.

322624 is the 568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322624

322624 is an abundant number, since it is smaller than the sum of its proper divisors (326727).

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

322624 is an frugal number, since it uses more digits than its factorization.

322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 73 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The cubic root of 322624 is about 68.5854865357.

Multiplying 322624 by its product of digits (576), we get a square (185831424 = 13632²).

Adding to 322624 its reverse (426223), we get a palindrome (748847).

It can be divided in two parts, 322 and 624, that added together give a triangular number (946 = T₄₃).

The spelling of 322624 in words is "three hundred twenty-two thousand, six hundred twenty-four".