1989792 has 144 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 556416.

The previous prime is 1989791. The next prime is 1989803. The reversal of 1989792 is 2979891.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1989791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42313 + ... + 42359.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2^1989792 is an apocalyptic number.

1989792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

1989792 is an abundant number, since it is smaller than the sum of its proper divisors (4904928).

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

1989792 is a wasteful number, since it uses less digits than its factorization.

1989792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 1989792 is about 1410.5998723947. The cubic root of 1989792 is about 125.7773846953. Note that the first 3 decimals are identical.

Subtracting 1989792 from its reverse (2979891), we obtain a palindrome (990099).

The spelling of 1989792 in words is "one million, nine hundred eighty-nine thousand, seven hundred ninety-two".