1869984 has 72 divisors (see below), whose sum is σ = 5477472. Its totient is φ = 604800.

The previous prime is 1869971. The next prime is 1869991. The reversal of 1869984 is 4899681.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12309 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (76076).

2^1869984 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 1869984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738736).

1869984 is an abundant number, since it is smaller than the sum of its proper divisors (3607488).

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

1869984 is a wasteful number, since it uses less digits than its factorization.

1869984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1869984 is about 1367.4735829258. The cubic root of 1869984 is about 123.2005453397.

It can be divided in two parts, 18 and 69984, that multiplied together give a cube (1259712 = 108³).

The spelling of 1869984 in words is "one million, eight hundred sixty-nine thousand, nine hundred eighty-four".