1083313440 has 576 divisors, whose sum is σ = 4457980800. Its totient is φ = 245514240.

The previous prime is 1083313393. The next prime is 1083313463. The reversal of 1083313440 is 443133801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7270486 + ... + 7270634.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^1083313440 is an apocalyptic number.

1083313440 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 1083313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).

1083313440 is an abundant number, since it is smaller than the sum of its proper divisors (3374667360).

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

1083313440 is a wasteful number, since it uses less digits than its factorization.

1083313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1083313440 is about 32913.7272274047. The cubic root of 1083313440 is about 1027.0337380480.

The spelling of 1083313440 in words is "one billion, eighty-three million, three hundred thirteen thousand, four hundred forty".