321647040 has 504 divisors, whose sum is σ = 1328037984. Its totient is φ = 70963200.

The previous prime is 321647017. The next prime is 321647047. The reversal of 321647040 is 40746123.

It is a junction number, because it is equal to n+sod(n) for n = 321646995 and 321647013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321647047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4530205 + ... + 4530275.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2^321647040 is an apocalyptic number.

321647040 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 321647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664018992).

321647040 is an abundant number, since it is smaller than the sum of its proper divisors (1006390944).

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

321647040 is a wasteful number, since it uses less digits than its factorization.

321647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 321647040 is about 17934.5209024384. The cubic root of 321647040 is about 685.1618705671.

It can be divided in two parts, 32164 and 7040, that added together give a square (39204 = 198²).

The spelling of 321647040 in words is "three hundred twenty-one million, six hundred forty-seven thousand, forty".