321669072 has 60 divisors (see below), whose sum is σ = 909546820. Its totient is φ = 106113024.

The previous prime is 321669041. The next prime is 321669079. The reversal of 321669072 is 270966123.

It can be written as a sum of positive squares in 2 ways, for example, as 227889216 + 93779856 = 15096^2 + 9684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321669079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2454 + ... + 25482.

Almost surely, 2^321669072 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 321669072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454773410).

321669072 is an abundant number, since it is smaller than the sum of its proper divisors (587877748).

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

321669072 is a wasteful number, since it uses less digits than its factorization.

321669072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23140 (or 23131 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 321669072 is about 17935.1351263379. The cubic root of 321669072 is about 685.1775141554.

The spelling of 321669072 in words is "three hundred twenty-one million, six hundred sixty-nine thousand, seventy-two".