1006067166 has 64 divisors (see below), whose sum is σ = 2218117440. Its totient is φ = 302330880.

The previous prime is 1006067129. The next prime is 1006067189. The reversal of 1006067166 is 6617606001.

It is a super-2 number, since 2×1006067166² = 2024342285006543112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619836 + ... + 621456.

It is an arithmetic number, because the mean of its divisors is an integer number (34658085).

Almost surely, 2^1006067166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006067166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109058720).

1006067166 is an abundant number, since it is smaller than the sum of its proper divisors (1212050274).

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

1006067166 is a wasteful number, since it uses less digits than its factorization.

1006067166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1006067166 is about 31718.5618526439. The cubic root of 1006067166 is about 1002.0183123414.

The spelling of 1006067166 in words is "one billion, six million, sixty-seven thousand, one hundred sixty-six".