1006566 has 32 divisors (see below), whose sum is σ = 2232576. Its totient is φ = 300000.

The previous prime is 1006559. The next prime is 1006583. The reversal of 1006566 is 6656001.

It is a super-2 number, since 2×1006566² = 2026350224712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6591 + ... + 6741.

It is an arithmetic number, because the mean of its divisors is an integer number (69768).

2^1006566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116288).

1006566 is an abundant number, since it is smaller than the sum of its proper divisors (1226010).

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

1006566 is a wasteful number, since it uses less digits than its factorization.

1006566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1006566 is about 1003.2776285755. The cubic root of 1006566 is about 100.2183893803.

It can be divided in two parts, 100 and 6566, that added together give a palindrome (6666).

The spelling of 1006566 in words is "one million, six thousand, five hundred sixty-six".