993792 has 40 divisors (see below), whose sum is σ = 2651616. Its totient is φ = 330752.

The previous prime is 993781. The next prime is 993793. The reversal of 993792 is 297399.

It is a self number, because there is not a number n which added to its sum of digits gives 993792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993793) by changing a digit.

993792 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1213 + ... + 1859.

2⁹⁹³⁷⁹² 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 993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325808).

993792 is an abundant number, since it is smaller than the sum of its proper divisors (1657824).

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

993792 is an equidigital number, since it uses as much as digits as its factorization.

993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its digits is 30618, while the sum is 39.

The square root of 993792 is about 996.8911675805. The cubic root of 993792 is about 99.7926369696.

The spelling of 993792 in words is "nine hundred ninety-three thousand, seven hundred ninety-two".