322663120 has 80 divisors (see below), whose sum is σ = 810854352. Its totient is φ = 118702080.

The previous prime is 322663109. The next prime is 322663123. The reversal of 322663120 is 21366223.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 60093504 + 262569616 = 7752^2 + 16204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×322663120² = 208222978016268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322663123) 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, 479104 + ... + 479776.

Almost surely, 2^322663120 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 322663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405427176).

322663120 is an abundant number, since it is smaller than the sum of its proper divisors (488191232).

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

322663120 is a wasteful number, since it uses less digits than its factorization.

322663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 322663120 is about 17962.8260582794. The cubic root of 322663120 is about 685.8825855084.

The spelling of 322663120 in words is "three hundred twenty-two million, six hundred sixty-three thousand, one hundred twenty".