321792240 has 240 divisors, whose sum is σ = 1253919744. Its totient is φ = 66823680.

The previous prime is 321792239. The next prime is 321792253. The reversal of 321792240 is 42297123.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 321792198 and 321792207.

It is a congruent number.

It is an unprimeable number.

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, 202489 + ... + 204071.

Almost surely, 2^321792240 is an apocalyptic number.

321792240 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 321792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

321792240 is an abundant number, since it is smaller than the sum of its proper divisors (932127504).

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

321792240 is a wasteful number, since it uses less digits than its factorization.

321792240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 321792240 is about 17938.5685047609. The cubic root of 321792240 is about 685.2649551337.

The spelling of 321792240 in words is "three hundred twenty-one million, seven hundred ninety-two thousand, two hundred forty".