226620 has 36 divisors (see below), whose sum is σ = 687960. Its totient is φ = 60384.

The previous prime is 226609. The next prime is 226621. The reversal of 226620 is 26622.

226620 is a `hidden beast` number, since 2 + 2 + 662 + 0 = 666.

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 = 226593 and 226602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226621) by changing a digit.

226620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 450 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2²²⁶⁶²⁰ is an apocalyptic number.

226620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226620 is an abundant number, since it is smaller than the sum of its proper divisors (461340).

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

226620 is a wasteful number, since it uses less digits than its factorization.

226620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226620 is about 476.0462162438. The cubic root of 226620 is about 60.9676438634.

The spelling of 226620 in words is "two hundred twenty-six thousand, six hundred twenty".