1905984 has 56 divisors (see below), whose sum is σ = 5608320. Its totient is φ = 634752.

The previous prime is 1905983. The next prime is 1906007. The reversal of 1905984 is 4895091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905983) 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, 1177 + ... + 2279.

2^1905984 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 1905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804160).

1905984 is an abundant number, since it is smaller than the sum of its proper divisors (3702336).

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

1905984 is a wasteful number, since it uses less digits than its factorization.

1905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1905984 is about 1380.5737937539. The cubic root of 1905984 is about 123.9861240109.

The spelling of 1905984 in words is "one million, nine hundred five thousand, nine hundred eighty-four".