321427080 has 192 divisors, whose sum is σ = 1134347760. Its totient is φ = 78465024.

The previous prime is 321427079. The next prime is 321427081. The reversal of 321427080 is 80724123.

It is an interprime number because it is at equal distance from previous prime (321427079) and next prime (321427081).

It can be written as a sum of positive squares in 8 ways, for example, as 180150084 + 141276996 = 13422^2 + 11886^2 .

It is not an unprimeable number, because it can be changed into a prime (321427081) 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 47 ways as a sum of consecutive naturals, for example, 809442 + ... + 809838.

Almost surely, 2^321427080 is an apocalyptic number.

321427080 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 321427080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567173880).

321427080 is an abundant number, since it is smaller than the sum of its proper divisors (812920680).

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

321427080 is a wasteful number, since it uses less digits than its factorization.

321427080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 321427080 is about 17928.3875460121. The cubic root of 321427080 is about 685.0056511158.

The spelling of 321427080 in words is "three hundred twenty-one million, four hundred twenty-seven thousand, eighty".