1882166000 has 160 divisors (see below), whose sum is σ = 5347532736. Its totient is φ = 631680000.

The previous prime is 1882165937. The next prime is 1882166003. The reversal of 1882166000 is 6612881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882166003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282710 + ... + 289290.

Almost surely, 2^1882166000 is an apocalyptic number.

1882166000 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 1882166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673766368).

1882166000 is an abundant number, since it is smaller than the sum of its proper divisors (3465366736).

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

1882166000 is a wasteful number, since it uses less digits than its factorization.

1882166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1882166000 is about 43383.9371196299. The cubic root of 1882166000 is about 1234.6749624051.

Adding to 1882166000 its reverse (6612881), we get a palindrome (1888778881).

The spelling of 1882166000 in words is "one billion, eight hundred eighty-two million, one hundred sixty-six thousand".