320211864 has 288 divisors, whose sum is σ = 1128394800. Its totient is φ = 81285120.

The previous prime is 320211839. The next prime is 320211869. The reversal of 320211864 is 468112023.

320211864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320211869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1139404 + ... + 1139684.

Almost surely, 2^320211864 is an apocalyptic number.

320211864 is a gapful number since it is divisible by the number (34) 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 320211864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564197400).

320211864 is an abundant number, since it is smaller than the sum of its proper divisors (808182936).

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

320211864 is a wasteful number, since it uses less digits than its factorization.

320211864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 320211864 is about 17894.4646189820. The cubic root of 320211864 is about 684.1412963460.

Adding to 320211864 its reverse (468112023), we get a palindrome (788323887).

The spelling of 320211864 in words is "three hundred twenty million, two hundred eleven thousand, eight hundred sixty-four".