1921764 has 48 divisors (see below), whose sum is σ = 4917248. Its totient is φ = 580608.

The previous prime is 1921763. The next prime is 1921769. The reversal of 1921764 is 4671291.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1921763) 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 15 ways as a sum of consecutive naturals, for example, 15069 + ... + 15195.

2^1921764 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 1921764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458624).

1921764 is an abundant number, since it is smaller than the sum of its proper divisors (2995484).

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

1921764 is a wasteful number, since it uses less digits than its factorization.

1921764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1921764 is about 1386.2770285913. The cubic root of 1921764 is about 124.3273521853.

The spelling of 1921764 in words is "one million, nine hundred twenty-one thousand, seven hundred sixty-four".