355880 has 64 divisors (see below), whose sum is σ = 967680. Its totient is φ = 115200.

The previous prime is 355867. The next prime is 355891. The reversal of 355880 is 88553.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355880.

It is an unprimeable number.

355880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8660 + ... + 8700.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2³⁵⁵⁸⁸⁰ 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 355880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

355880 is an abundant number, since it is smaller than the sum of its proper divisors (611800).

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

355880 is a wasteful number, since it uses less digits than its factorization.

355880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 355880 is about 596.5567869030. The cubic root of 355880 is about 70.8654464155.

The spelling of 355880 in words is "three hundred fifty-five thousand, eight hundred eighty".