320578128 has 120 divisors (see below), whose sum is σ = 996632640. Its totient is φ = 98616960.

The previous prime is 320578123. The next prime is 320578177. The reversal of 320578128 is 821875023.

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

It is a junction number, because it is equal to n+sod(n) for n = 320578092 and 320578101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320578123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70813 + ... + 75203.

It is an arithmetic number, because the mean of its divisors is an integer number (8305272).

Almost surely, 2^320578128 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 320578128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498316320).

320578128 is an abundant number, since it is smaller than the sum of its proper divisors (676054512).

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

320578128 is a wasteful number, since it uses less digits than its factorization.

320578128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 320578128 is about 17904.6956969394. The cubic root of 320578128 is about 684.4020412659.

The spelling of 320578128 in words is "three hundred twenty million, five hundred seventy-eight thousand, one hundred twenty-eight".