1083904 has 40 divisors (see below), whose sum is σ = 2271060. Its totient is φ = 516096.

The previous prime is 1083899. The next prime is 1083911. The reversal of 1083904 is 4093801.

It can be written as a sum of positive squares in 2 ways, for example, as 1081600 + 2304 = 1040^2 + 48^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14812 + ... + 14884.

2^1083904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135530).

1083904 is an abundant number, since it is smaller than the sum of its proper divisors (1187156).

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

1083904 is an frugal number, since it uses more digits than its factorization.

1083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1083904 is about 1041.1071030398. The cubic root of 1083904 is about 102.7220330663.

The spelling of 1083904 in words is "one million, eighty-three thousand, nine hundred four".