1083409080 has 256 divisors, whose sum is σ = 3704279040. Its totient is φ = 251596800.

The previous prime is 1083409039. The next prime is 1083409087. The reversal of 1083409080 is 809043801.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083409087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2079220 + ... + 2079740.

It is an arithmetic number, because the mean of its divisors is an integer number (14469840).

Almost surely, 2^1083409080 is an apocalyptic number.

1083409080 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 1083409080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852139520).

1083409080 is an abundant number, since it is smaller than the sum of its proper divisors (2620869960).

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

1083409080 is a wasteful number, since it uses less digits than its factorization.

1083409080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1083409080 is about 32915.1800845750. The cubic root of 1083409080 is about 1027.0639609465.

The spelling of 1083409080 in words is "one billion, eighty-three million, four hundred nine thousand, eighty".