353088 has 42 divisors (see below), whose sum is σ = 1013714. Its totient is φ = 117504.

The previous prime is 353081. The next prime is 353099. The reversal of 353088 is 880353.

353088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 166464 = 432^2 + 408^2 .

It is a super-2 number, since 2×353088² = 249342271488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353081) by changing a digit.

353088 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270 + ... + 882.

2³⁵³⁰⁸⁸ 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 353088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506857).

353088 is an abundant number, since it is smaller than the sum of its proper divisors (660626).

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

353088 is a wasteful number, since it uses less digits than its factorization.

353088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 353088 is about 594.2120833507. The cubic root of 353088 is about 70.6796384557.

The spelling of 353088 in words is "three hundred fifty-three thousand, eighty-eight".