1066500864 has 432 divisors, whose sum is σ = 3770444160. Its totient is φ = 294727680.

The previous prime is 1066500859. The next prime is 1066500871. The reversal of 1066500864 is 4680056601.

1066500864 is a `hidden beast` number, since 10 + 66 + 500 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×1066500864³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 12849367 + ... + 12849449.

It is an arithmetic number, because the mean of its divisors is an integer number (8727880).

Almost surely, 2^1066500864 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 1066500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885222080).

1066500864 is an abundant number, since it is smaller than the sum of its proper divisors (2703943296).

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

1066500864 is a wasteful number, since it uses less digits than its factorization.

1066500864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1066500864 is about 32657.3248138913. The cubic root of 1066500864 is about 1021.6929670534.

The spelling of 1066500864 in words is "one billion, sixty-six million, five hundred thousand, eight hundred sixty-four".