321683040 has 432 divisors, whose sum is σ = 1317580992. Its totient is φ = 71221248.

The previous prime is 321683039. The next prime is 321683093. The reversal of 321683040 is 40386123.

It is a happy number.

321683040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 321682995 and 321683013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3316272 + ... + 3316368.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2^321683040 is an apocalyptic number.

321683040 is a gapful number since it is divisible by the number (30) 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 321683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496).

321683040 is an abundant number, since it is smaller than the sum of its proper divisors (995897952).

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

321683040 is a wasteful number, since it uses less digits than its factorization.

321683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 321683040 is about 17935.5245253659. The cubic root of 321683040 is about 685.1874316160.

The spelling of 321683040 in words is "three hundred twenty-one million, six hundred eighty-three thousand, forty".