1066284000 has 288 divisors, whose sum is σ = 3927976416. Its totient is φ = 284083200.

The previous prime is 1066283993. The next prime is 1066284017. The reversal of 1066284000 is 4826601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1066284000² = 2273923137312000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971452 + ... + 972548.

It is an arithmetic number, because the mean of its divisors is an integer number (13638807).

Almost surely, 2^1066284000 is an apocalyptic number.

1066284000 is a gapful number since it is divisible by the number (10) 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 1066284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963988208).

1066284000 is an abundant number, since it is smaller than the sum of its proper divisors (2861692416).

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

1066284000 is an equidigital number, since it uses as much as digits as its factorization.

1066284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1066284000 is about 32654.0043486247. The cubic root of 1066284000 is about 1021.6237114623.

The spelling of 1066284000 in words is "one billion, sixty-six million, two hundred eighty-four thousand".