993820 has 48 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 359424.

The previous prime is 993793. The next prime is 993821. The reversal of 993820 is 28399.

It is a happy number.

993820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993821) by changing a digit.

993820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12541 + ... + 12619.

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

2⁹⁹³⁸²⁰ 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 993820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

993820 is an abundant number, since it is smaller than the sum of its proper divisors (1304420).

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

993820 is a wasteful number, since it uses less digits than its factorization.

993820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 993820 is about 996.9052111410. The cubic root of 993820 is about 99.7935741770.

The spelling of 993820 in words is "nine hundred ninety-three thousand, eight hundred twenty".