1791984 has 40 divisors (see below), whose sum is σ = 4759120. Its totient is φ = 580608.

The previous prime is 1791973. The next prime is 1791989. The reversal of 1791984 is 4891971.

It is a happy number.

It is a super-2 number, since 2×1791984² = 6422413312512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1791989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1272 + ... + 2280.

It is an arithmetic number, because the mean of its divisors is an integer number (118978).

2^1791984 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 1791984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379560).

1791984 is an abundant number, since it is smaller than the sum of its proper divisors (2967136).

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

1791984 is a wasteful number, since it uses less digits than its factorization.

1791984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 1791984 is about 1338.6500662981. The cubic root of 1791984 is about 121.4631973753.

It can be divided in two parts, 1791 and 984, that added together give a triangular number (2775 = T₇₄).

The spelling of 1791984 in words is "one million, seven hundred ninety-one thousand, nine hundred eighty-four".