1083580416 has 280 divisors, whose sum is σ = 3425488704. Its totient is φ = 340623360.

The previous prime is 1083580387. The next prime is 1083580423. The reversal of 1083580416 is 6140853801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15261661 + ... + 15261731.

Almost surely, 2^1083580416 is an apocalyptic number.

1083580416 is a gapful number since it is divisible by the number (16) 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 1083580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712744352).

1083580416 is an abundant number, since it is smaller than the sum of its proper divisors (2341908288).

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

1083580416 is an frugal number, since it uses more digits than its factorization.

1083580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1083580416 is about 32917.7826713769. The cubic root of 1083580416 is about 1027.1180998550.

The spelling of 1083580416 in words is "one billion, eighty-three million, five hundred eighty thousand, four hundred sixteen".