1904144 has 40 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 835200.

The previous prime is 1904143. The next prime is 1904167. The reversal of 1904144 is 4414091.

It is not an unprimeable number, because it can be changed into a prime (1904143) 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, 5282 + ... + 5630.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^1904144 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 1904144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1904144 is an abundant number, since it is smaller than the sum of its proper divisors (2262256).

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

1904144 is a wasteful number, since it uses less digits than its factorization.

1904144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1904144 is about 1379.9072432595. The cubic root of 1904144 is about 123.9462132317.

It can be divided in two parts, 1904 and 144, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 1904144 in words is "one million, nine hundred four thousand, one hundred forty-four".