356220 has 36 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 94944.

The previous prime is 356219. The next prime is 356243. The reversal of 356220 is 22653.

356220 = T₂₁ + T₂₂ + ... + T₁₂₈.

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 = 356193 and 356202.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 356220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2³⁵⁶²²⁰ is an apocalyptic number.

356220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

356220 is an abundant number, since it is smaller than the sum of its proper divisors (724860).

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

356220 is a wasteful number, since it uses less digits than its factorization.

356220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 356220 is about 596.8416875521. The cubic root of 356220 is about 70.8880070004. Note that the first 3 decimals are identical.

Adding to 356220 its reverse (22653), we get a palindrome (378873).

It can be divided in two parts, 356 and 220, that added together give a square (576 = 24²).

The spelling of 356220 in words is "three hundred fifty-six thousand, two hundred twenty".