359268 has 72 divisors (see below), whose sum is σ = 1072512. Its totient is φ = 92736.

The previous prime is 359267. The next prime is 359279. The reversal of 359268 is 862953.

It is a happy number.

Its product of digits (12960) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (359263) 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 23 ways as a sum of consecutive naturals, for example, 7621 + ... + 7667.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2³⁵⁹²⁶⁸ 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 359268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256).

359268 is an abundant number, since it is smaller than the sum of its proper divisors (713244).

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

359268 is a wasteful number, since it uses less digits than its factorization.

359268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 72 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 359268 is about 599.3896896010. The cubic root of 359268 is about 71.0896177085.

Adding to 359268 its reverse (862953), we get a palindrome (1222221).

The spelling of 359268 in words is "three hundred fifty-nine thousand, two hundred sixty-eight".