320217768 has 192 divisors, whose sum is σ = 990662400. Its totient is φ = 92736000.

The previous prime is 320217767. The next prime is 320217791. The reversal of 320217768 is 867712023.

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

It is not an unprimeable number, because it can be changed into a prime (320217767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1275643 + ... + 1275893.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^320217768 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 320217768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

320217768 is an abundant number, since it is smaller than the sum of its proper divisors (670444632).

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

320217768 is a wasteful number, since it uses less digits than its factorization.

320217768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 320217768 is about 17894.6295854371. The cubic root of 320217768 is about 684.1455010053.

The spelling of 320217768 in words is "three hundred twenty million, two hundred seventeen thousand, seven hundred sixty-eight".