321361920 has 288 divisors, whose sum is σ = 1218868560. Its totient is φ = 77660160.

The previous prime is 321361913. The next prime is 321361921. The reversal of 321361920 is 29163123.

321361920 is a `hidden beast` number, since 3 + 21 + 3 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321361921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013602 + ... + 1013918.

Almost surely, 2^321361920 is an apocalyptic number.

321361920 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 321361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609434280).

321361920 is an abundant number, since it is smaller than the sum of its proper divisors (897506640).

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

321361920 is a wasteful number, since it uses less digits than its factorization.

321361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 321361920 is about 17926.5702241115. The cubic root of 321361920 is about 684.9593596576.

The spelling of 321361920 in words is "three hundred twenty-one million, three hundred sixty-one thousand, nine hundred twenty".