1921824 has 36 divisors (see below), whose sum is σ = 5466006. Its totient is φ = 640512.

The previous prime is 1921823. The next prime is 1921841. The reversal of 1921824 is 4281291.

1921824 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 17424 = 1380^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3049 + ... + 3624.

2^1921824 is an apocalyptic number.

It is an amenable number.

1921824 is an abundant number, since it is smaller than the sum of its proper divisors (3544182).

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

1921824 is a wasteful number, since it uses less digits than its factorization.

1921824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689 (or 6678 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1921824 is about 1386.2986691186. The cubic root of 1921824 is about 124.3286460597.

It can be divided in two parts, 192 and 1824, that added together give a triangular number (2016 = T₆₃).

The spelling of 1921824 in words is "one million, nine hundred twenty-one thousand, eight hundred twenty-four".