1984240 has 40 divisors (see below), whose sum is σ = 4888080. Its totient is φ = 746496.

The previous prime is 1984211. The next prime is 1984247. The reversal of 1984240 is 424891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1984199 and 1984208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631 + ... + 2089.

It is an arithmetic number, because the mean of its divisors is an integer number (122202).

2^1984240 is an apocalyptic number.

1984240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444040).

1984240 is an abundant number, since it is smaller than the sum of its proper divisors (2903840).

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

1984240 is a wasteful number, since it uses less digits than its factorization.

1984240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1984240 is about 1408.6305406316. The cubic root of 1984240 is about 125.6602926344.

The spelling of 1984240 in words is "one million, nine hundred eighty-four thousand, two hundred forty".