1648384 has 36 divisors (see below), whose sum is σ = 3384864. Its totient is φ = 800768.

The previous prime is 1648379. The next prime is 1648391. The reversal of 1648384 is 4838461.

1648384 = T₂₄₁ + T₂₄₂ + ... + T₂₈₇.

1648384 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×1648384² = 5434339622912, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 11964 + ... + 12100.

It is an arithmetic number, because the mean of its divisors is an integer number (94024).

2^1648384 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 1648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692432).

1648384 is an abundant number, since it is smaller than the sum of its proper divisors (1736480).

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

1648384 is an equidigital number, since it uses as much as digits as its factorization.

1648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 1648384 is about 1283.8940766278. The cubic root of 1648384 is about 118.1279852367.

It can be divided in two parts, 16 and 48384, that added together give a square (48400 = 220²).

The spelling of 1648384 in words is "one million, six hundred forty-eight thousand, three hundred eighty-four".