353856 has 56 divisors (see below), whose sum is σ = 995680. Its totient is φ = 110592.

The previous prime is 353833. The next prime is 353867. The reversal of 353856 is 658353.

It is an unprimeable number.

353856 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 7 ways as a sum of consecutive naturals, for example, 3600 + ... + 3696.

It is an arithmetic number, because the mean of its divisors is an integer number (17780).

2³⁵³⁸⁵⁶ 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 353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497840).

353856 is an abundant number, since it is smaller than the sum of its proper divisors (641824).

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

353856 is a wasteful number, since it uses less digits than its factorization.

353856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

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

The square root of 353856 is about 594.8579662407. The cubic root of 353856 is about 70.7308463261.

The spelling of 353856 in words is "three hundred fifty-three thousand, eight hundred fifty-six".