1066564224 has 192 divisors, whose sum is σ = 3545830080. Its totient is φ = 304128000.

The previous prime is 1066564171. The next prime is 1066564313. The reversal of 1066564224 is 4224656601.

1066564224 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 642 + 2 + 4 = 666.

1066564224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1066564224² = 2275118487833444352, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 212949 + ... + 217899.

It is an arithmetic number, because the mean of its divisors is an integer number (18467865).

Almost surely, 2^1066564224 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 1066564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772915040).

1066564224 is an abundant number, since it is smaller than the sum of its proper divisors (2479265856).

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

1066564224 is a wasteful number, since it uses less digits than its factorization.

1066564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1066564224 is about 32658.2948728191. The cubic root of 1066564224 is about 1021.7131993185.

The spelling of 1066564224 in words is "one billion, sixty-six million, five hundred sixty-four thousand, two hundred twenty-four".