226759680 has 528 divisors, whose sum is σ = 970769280. Its totient is φ = 47775744.

The previous prime is 226759669. The next prime is 226759703. The reversal of 226759680 is 86957622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128622 + ... + 6128658.

Almost surely, 2^226759680 is an apocalyptic number.

226759680 is a gapful number since it is divisible by the number (20) 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 226759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485384640).

226759680 is an abundant number, since it is smaller than the sum of its proper divisors (744009600).

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

226759680 is a wasteful number, since it uses less digits than its factorization.

226759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 226759680 is about 15058.5417620698. The cubic root of 226759680 is about 609.8016734100.

The spelling of 226759680 in words is "two hundred twenty-six million, seven hundred fifty-nine thousand, six hundred eighty".