320421888 has 180 divisors, whose sum is σ = 966102228. Its totient is φ = 102236160.

The previous prime is 320421877. The next prime is 320421917. The reversal of 320421888 is 888124023.

It is a happy number.

320421888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 212926464 = 10368^2 + 14592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6045670 + ... + 6045722.

Almost surely, 2^320421888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483051114).

320421888 is an abundant number, since it is smaller than the sum of its proper divisors (645680340).

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

320421888 is an equidigital number, since it uses as much as digits as its factorization.

320421888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 320421888 is about 17900.3320639590. The cubic root of 320421888 is about 684.2908376394.

It can be divided in two parts, 32042 and 1888, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 320421888 in words is "three hundred twenty million, four hundred twenty-one thousand, eight hundred eighty-eight".