321493680 has 240 divisors, whose sum is σ = 1155997440. Its totient is φ = 79833600.

The previous prime is 321493663. The next prime is 321493687. The reversal of 321493680 is 86394123.

It is a tau number, because it is divible by the number of its divisors (240).

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 (321493687) 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 47 ways as a sum of consecutive naturals, for example, 971115 + ... + 971445.

It is an arithmetic number, because the mean of its divisors is an integer number (4816656).

Almost surely, 2^321493680 is an apocalyptic number.

321493680 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 321493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577998720).

321493680 is an abundant number, since it is smaller than the sum of its proper divisors (834503760).

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

321493680 is a wasteful number, since it uses less digits than its factorization.

321493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 321493680 is about 17930.2448393768. The cubic root of 321493680 is about 685.0529591250.

The spelling of 321493680 in words is "three hundred twenty-one million, four hundred ninety-three thousand, six hundred eighty".