1082032000 has 128 divisors (see below), whose sum is σ = 3074834880. Its totient is φ = 370944000.

The previous prime is 1082031947. The next prime is 1082032013. The reversal of 1082032000 is 2302801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 107170 + ... + 116830.

Almost surely, 2^1082032000 is an apocalyptic number.

1082032000 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 1082032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537417440).

1082032000 is an abundant number, since it is smaller than the sum of its proper divisors (1992802880).

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

1082032000 is an frugal number, since it uses more digits than its factorization.

1082032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1082032000 is about 32894.2548175209. The cubic root of 1082032000 is about 1026.6286224916.

Adding to 1082032000 its reverse (2302801), we get a palindrome (1084334801).

The spelling of 1082032000 in words is "one billion, eighty-two million, thirty-two thousand".