353360 has 40 divisors (see below), whose sum is σ = 940416. Its totient is φ = 120960.

The previous prime is 353359. The next prime is 353389. The reversal of 353360 is 63353.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 245 + ... + 875.

2³⁵³³⁶⁰ 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 353360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470208).

353360 is an abundant number, since it is smaller than the sum of its proper divisors (587056).

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

353360 is a wasteful number, since it uses less digits than its factorization.

353360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

The square root of 353360 is about 594.4409138005. The cubic root of 353360 is about 70.6977830610.

The spelling of 353360 in words is "three hundred fifty-three thousand, three hundred sixty".