1083288960 has 768 divisors, whose sum is σ = 4571199360. Its totient is φ = 233570304.

The previous prime is 1083288959. The next prime is 1083288967. The reversal of 1083288960 is 698823801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083288967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29278062 + ... + 29278098.

Almost surely, 2^1083288960 is an apocalyptic number.

1083288960 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 1083288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285599680).

1083288960 is an abundant number, since it is smaller than the sum of its proper divisors (3487910400).

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

1083288960 is a wasteful number, since it uses less digits than its factorization.

1083288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1083288960 is about 32913.3553439937. The cubic root of 1083288960 is about 1027.0260019136.

The spelling of 1083288960 in words is "one billion, eighty-three million, two hundred eighty-eight thousand, nine hundred sixty".