1003904 has 64 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 422400.

The previous prime is 1003897. The next prime is 1003907. The reversal of 1003904 is 4093001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32369 + ... + 32399.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2^1003904 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 1003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

1003904 is an abundant number, since it is smaller than the sum of its proper divisors (1346176).

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

1003904 is a wasteful number, since it uses less digits than its factorization.

1003904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1003904 is about 1001.9500985578. The cubic root of 1003904 is about 100.1299643528.

Adding to 1003904 its reverse (4093001), we get a palindrome (5096905).

It can be divided in two parts, 100 and 3904, that added together give a palindrome (4004).

The spelling of 1003904 in words is "one million, three thousand, nine hundred four".