320105920 has 168 divisors, whose sum is σ = 857030544. Its totient is φ = 113467392.

The previous prime is 320105899. The next prime is 320105959. The reversal of 320105920 is 29501023.

320105920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 320105891 and 320105900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963759 + ... + 1963921.

Almost surely, 2^320105920 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 320105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428515272).

320105920 is an abundant number, since it is smaller than the sum of its proper divisors (536924624).

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

320105920 is a wasteful number, since it uses less digits than its factorization.

320105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 320105920 is about 17891.5041290552. The cubic root of 320105920 is about 684.0658372841.

Adding to 320105920 its reverse (29501023), we get a palindrome (349606943).

The spelling of 320105920 in words is "three hundred twenty million, one hundred five thousand, nine hundred twenty".