320855040 has 352 divisors, whose sum is σ = 1249816320. Its totient is φ = 77414400.

The previous prime is 320855023. The next prime is 320855047. The reversal of 320855040 is 40558023.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a junction number, because it is equal to n+sod(n) for n = 320854995 and 320855013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320855047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1520535 + ... + 1520745.

Almost surely, 2^320855040 is an apocalyptic number.

320855040 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 320855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624908160).

320855040 is an abundant number, since it is smaller than the sum of its proper divisors (928961280).

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

320855040 is a wasteful number, since it uses less digits than its factorization.

320855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

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

The square root of 320855040 is about 17912.4269712398. The cubic root of 320855040 is about 684.5990443046.

The spelling of 320855040 in words is "three hundred twenty million, eight hundred fifty-five thousand, forty".