1921424 has 40 divisors (see below), whose sum is σ = 3984120. Its totient is φ = 896000.

The previous prime is 1921417. The next prime is 1921427. The reversal of 1921424 is 4241291.

It can be written as a sum of positive squares in 4 ways, for example, as 313600 + 1607824 = 560^2 + 1268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1921424.

It is not an unprimeable number, because it can be changed into a prime (1921427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18974 + ... + 19074.

It is an arithmetic number, because the mean of its divisors is an integer number (99603).

2^1921424 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 1921424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992060).

1921424 is an abundant number, since it is smaller than the sum of its proper divisors (2062696).

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

1921424 is a wasteful number, since it uses less digits than its factorization.

With its successor (1921425) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (173).

1921424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 1921424 is about 1386.1543925552. The cubic root of 1921424 is about 124.3200197219.

The spelling of 1921424 in words is "one million, nine hundred twenty-one thousand, four hundred twenty-four".