353268 has 24 divisors (see below), whose sum is σ = 916160. Its totient is φ = 117720.

The previous prime is 353263. The next prime is 353293. The reversal of 353268 is 862353.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353263) by changing a digit.

353268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1528 + ... + 1743.

2³⁵³²⁶⁸ is an apocalyptic number.

It is an amenable number.

353268 is an abundant number, since it is smaller than the sum of its proper divisors (562892).

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

353268 is a wasteful number, since it uses less digits than its factorization.

353268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3276 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 353268 is about 594.3635251258. The cubic root of 353268 is about 70.6916469575.

It can be divided in two parts, 3532 and 68, that added together give a square (3600 = 60²).

The spelling of 353268 in words is "three hundred fifty-three thousand, two hundred sixty-eight".