320055840 has 384 divisors, whose sum is σ = 1244678400. Its totient is φ = 76308480.

The previous prime is 320055839. The next prime is 320055863. The reversal of 320055840 is 48550023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2302491 + ... + 2302629.

It is an arithmetic number, because the mean of its divisors is an integer number (3241350).

Almost surely, 2^320055840 is an apocalyptic number.

320055840 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 320055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622339200).

320055840 is an abundant number, since it is smaller than the sum of its proper divisors (924622560).

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

320055840 is a wasteful number, since it uses less digits than its factorization.

320055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 320055840 is about 17890.1045273637. The cubic root of 320055840 is about 684.0301617971.

The spelling of 320055840 in words is "three hundred twenty million, fifty-five thousand, eight hundred forty".