1083961200 has 240 divisors, whose sum is σ = 4061970176. Its totient is φ = 241920000.

The previous prime is 1083961187. The next prime is 1083961223. The reversal of 1083961200 is 21693801.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 359700 + ... + 362700.

Almost surely, 2^1083961200 is an apocalyptic number.

1083961200 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 1083961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030985088).

1083961200 is an abundant number, since it is smaller than the sum of its proper divisors (2978008976).

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

1083961200 is a wasteful number, since it uses less digits than its factorization.

1083961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1083961200 is about 32923.5660279989. The cubic root of 1083961200 is about 1027.2383999047.

The spelling of 1083961200 in words is "one billion, eighty-three million, nine hundred sixty-one thousand, two hundred".