1082126000 has 80 divisors (see below), whose sum is σ = 2754392160. Its totient is φ = 410054400.

The previous prime is 1082125987. The next prime is 1082126027. The reversal of 1082126000 is 6212801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 23762 + ... + 52238.

It is an arithmetic number, because the mean of its divisors is an integer number (34429902).

Almost surely, 2^1082126000 is an apocalyptic number.

1082126000 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 1082126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377196080).

1082126000 is an abundant number, since it is smaller than the sum of its proper divisors (1672266160).

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

1082126000 is a wasteful number, since it uses less digits than its factorization.

1082126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28519 (or 28503 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1082126000 is about 32895.6836074279. The cubic root of 1082126000 is about 1026.6583506007.

Adding to 1082126000 its reverse (6212801), we get a palindrome (1088338801).

The spelling of 1082126000 in words is "one billion, eighty-two million, one hundred twenty-six thousand".