350820 has 36 divisors (see below), whose sum is σ = 1064700. Its totient is φ = 93504.

The previous prime is 350809. The next prime is 350843. The reversal of 350820 is 28053.

350820 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 2 ways, for example, as 207936 + 142884 = 456^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 350793 and 350802.

It is an unprimeable number.

350820 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 11 ways as a sum of consecutive naturals, for example, 795 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (29575).

2³⁵⁰⁸²⁰ is an apocalyptic number.

350820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350820 is an abundant number, since it is smaller than the sum of its proper divisors (713880).

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

350820 is a wasteful number, since it uses less digits than its factorization.

350820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 350820 is about 592.3005993581. The cubic root of 350820 is about 70.5279804432.

Adding to 350820 its reverse (28053), we get a palindrome (378873).

The spelling of 350820 in words is "three hundred fifty thousand, eight hundred twenty".