226746 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 62208.

The previous prime is 226741. The next prime is 226753. The reversal of 226746 is 647622.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226741) by changing a digit.

226746 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 31 ways as a sum of consecutive naturals, for example, 11925 + ... + 11943.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2²²⁶⁷⁴⁶ is an apocalyptic number.

226746 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 226746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

226746 is an abundant number, since it is smaller than the sum of its proper divisors (378054).

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

226746 is a wasteful number, since it uses less digits than its factorization.

226746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 226746 is about 476.1785379456. The cubic root of 226746 is about 60.9789410421.

The spelling of 226746 in words is "two hundred twenty-six thousand, seven hundred forty-six".