226680 has 32 divisors (see below), whose sum is σ = 680400. Its totient is φ = 60416.

The previous prime is 226669. The next prime is 226691. The reversal of 226680 is 86622.

It is an interprime number because it is at equal distance from previous prime (226669) and next prime (226691).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226680.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 825 + ... + 1064.

2²²⁶⁶⁸⁰ is an apocalyptic number.

226680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226680 is an abundant number, since it is smaller than the sum of its proper divisors (453720).

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

226680 is a wasteful number, since it uses less digits than its factorization.

226680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 226680 is about 476.1092311644. The cubic root of 226680 is about 60.9730239944.

It can be divided in two parts, 2266 and 80, that added together give a triangular number (2346 = T₆₈).

The spelling of 226680 in words is "two hundred twenty-six thousand, six hundred eighty".