1017226566 has 64 divisors (see below), whose sum is σ = 2377728000. Its totient is φ = 321729408.

The previous prime is 1017226547. The next prime is 1017226571. The reversal of 1017226566 is 6656227101.

It is a happy number.

1017226566 is a `hidden beast` number, since 1 + 0 + 1 + 72 + 26 + 566 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1017226566.

It is a congruent number.

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, 154510 + ... + 160958.

It is an arithmetic number, because the mean of its divisors is an integer number (37152000).

Almost surely, 2^1017226566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017226566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188864000).

1017226566 is an abundant number, since it is smaller than the sum of its proper divisors (1360501434).

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

1017226566 is a wasteful number, since it uses less digits than its factorization.

1017226566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1017226566 is about 31893.9894964553. The cubic root of 1017226566 is about 1005.7095279166.

The spelling of 1017226566 in words is "one billion, seventeen million, two hundred twenty-six thousand, five hundred sixty-six".