355120 has 40 divisors (see below), whose sum is σ = 866016. Its totient is φ = 135168.

The previous prime is 355111. The next prime is 355127. The reversal of 355120 is 21553.

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

It is a super-2 number, since 2×355120² = 252220428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 355094 and 355103.

It is not an unprimeable number, because it can be changed into a prime (355127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1744 + ... + 1936.

2³⁵⁵¹²⁰ 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 355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433008).

355120 is an abundant number, since it is smaller than the sum of its proper divisors (510896).

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

355120 is a wasteful number, since it uses less digits than its factorization.

355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 355120 is about 595.9194576451. The cubic root of 355120 is about 70.8149648642.

Adding to 355120 its reverse (21553), we get a palindrome (376673).

The spelling of 355120 in words is "three hundred fifty-five thousand, one hundred twenty".