1083648000 has 384 divisors, whose sum is σ = 3863583360. Its totient is φ = 268697600.

The previous prime is 1083647969. The next prime is 1083648029. The reversal of 1083648000 is 8463801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13055959 + ... + 13056041.

It is an arithmetic number, because the mean of its divisors is an integer number (10061415).

Almost surely, 2^1083648000 is an apocalyptic number.

1083648000 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 1083648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931791680).

1083648000 is an abundant number, since it is smaller than the sum of its proper divisors (2779935360).

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

1083648000 is an equidigital number, since it uses as much as digits as its factorization.

1083648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1083648000 is about 32918.8092129712. The cubic root of 1083648000 is about 1027.1394535406.

The spelling of 1083648000 in words is "one billion, eighty-three million, six hundred forty-eight thousand".