353568 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 112896.

The previous prime is 353567. The next prime is 353603. The reversal of 353568 is 865353.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (353567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2721 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³⁵³⁵⁶⁸ 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 353568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

353568 is an abundant number, since it is smaller than the sum of its proper divisors (614112).

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

353568 is a wasteful number, since it uses less digits than its factorization.

353568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 353568 is about 594.6158423722. The cubic root of 353568 is about 70.7116520657.

The spelling of 353568 in words is "three hundred fifty-three thousand, five hundred sixty-eight".