226807560 has 256 divisors, whose sum is σ = 910080000. Its totient is φ = 49082112.

The previous prime is 226807547. The next prime is 226807561. The reversal of 226807560 is 65708622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226807561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142851 + ... + 144429.

It is an arithmetic number, because the mean of its divisors is an integer number (3555000).

Almost surely, 2^226807560 is an apocalyptic number.

226807560 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 226807560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455040000).

226807560 is an abundant number, since it is smaller than the sum of its proper divisors (683272440).

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

226807560 is a wasteful number, since it uses less digits than its factorization.

226807560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 226807560 is about 15060.1314735297. The cubic root of 226807560 is about 609.8445899893.

The spelling of 226807560 in words is "two hundred twenty-six million, eight hundred seven thousand, five hundred sixty".