1006166880 has 192 divisors, whose sum is σ = 3538321920. Its totient is φ = 267038208.

The previous prime is 1006166839. The next prime is 1006166881. The reversal of 1006166880 is 886616001.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006166881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1222149 + ... + 1222971.

It is an arithmetic number, because the mean of its divisors is an integer number (18428760).

Almost surely, 2^1006166880 is an apocalyptic number.

1006166880 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 1006166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769160960).

1006166880 is an abundant number, since it is smaller than the sum of its proper divisors (2532155040).

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

1006166880 is a wasteful number, since it uses less digits than its factorization.

1006166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1006166880 is about 31720.1336693274. The cubic root of 1006166880 is about 1002.0514154835.

The spelling of 1006166880 in words is "one billion, six million, one hundred sixty-six thousand, eight hundred eighty".