1082084640 has 288 divisors, whose sum is σ = 4271279040. Its totient is φ = 228243456.

The previous prime is 1082084617. The next prime is 1082084693. The reversal of 1082084640 is 464802801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303991 + ... + 307529.

It is an arithmetic number, because the mean of its divisors is an integer number (14830830).

Almost surely, 2^1082084640 is an apocalyptic number.

1082084640 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 1082084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135639520).

1082084640 is an abundant number, since it is smaller than the sum of its proper divisors (3189194400).

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

1082084640 is a wasteful number, since it uses less digits than its factorization.

1082084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1082084640 is about 32895.0549475145. The cubic root of 1082084640 is about 1026.6452704448.

The spelling of 1082084640 in words is "one billion, eighty-two million, eighty-four thousand, six hundred forty".