226560672 has 192 divisors, whose sum is σ = 743420160. Its totient is φ = 66604032.

The previous prime is 226560661. The next prime is 226560689. The reversal of 226560672 is 276065622.

226560672 is a `hidden beast` number, since 2 + 26 + 560 + 6 + 72 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257898 + ... + 258774.

It is an arithmetic number, because the mean of its divisors is an integer number (3871980).

Almost surely, 2^226560672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371710080).

226560672 is an abundant number, since it is smaller than the sum of its proper divisors (516859488).

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

226560672 is a wasteful number, since it uses less digits than its factorization.

226560672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 226560672 is about 15051.9325005130. The cubic root of 226560672 is about 609.6232305612.

The spelling of 226560672 in words is "two hundred twenty-six million, five hundred sixty thousand, six hundred seventy-two".