321672000 has 224 divisors, whose sum is σ = 1144975104. Its totient is φ = 79104000.

The previous prime is 321671981. The next prime is 321672007. The reversal of 321672000 is 276123.

It is a happy number.

321672000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321672007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311485 + ... + 312515.

It is an arithmetic number, because the mean of its divisors is an integer number (5111496).

Almost surely, 2^321672000 is an apocalyptic number.

321672000 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 321672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572487552).

321672000 is an abundant number, since it is smaller than the sum of its proper divisors (823303104).

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

321672000 is a wasteful number, since it uses less digits than its factorization.

321672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 321672000 is about 17935.2167536386. The cubic root of 321672000 is about 685.1795930971.

The spelling of 321672000 in words is "three hundred twenty-one million, six hundred seventy-two thousand".