368220 has 72 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 87552.

The previous prime is 368197. The next prime is 368227. The reversal of 368220 is 22863.

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 368220.

It is not an unprimeable number, because it can be changed into a prime (368227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19371 + ... + 19389.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2³⁶⁸²²⁰ is an apocalyptic number.

368220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

368220 is an abundant number, since it is smaller than the sum of its proper divisors (783924).

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

368220 is a wasteful number, since it uses less digits than its factorization.

368220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 368220 is about 606.8113380615. The cubic root of 368220 is about 71.6752348388.

It can be divided in two parts, 36 and 8220, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 368220 in words is "three hundred sixty-eight thousand, two hundred twenty".