993204 has 36 divisors (see below), whose sum is σ = 2568384. Its totient is φ = 323472.

The previous prime is 993203. The next prime is 993211. The reversal of 993204 is 402399.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1399 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (71344).

2⁹⁹³²⁰⁴ is an apocalyptic number.

993204 is a gapful number since it is divisible by the number (94) 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 993204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284192).

993204 is an abundant number, since it is smaller than the sum of its proper divisors (1575180).

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

993204 is a wasteful number, since it uses less digits than its factorization.

993204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 993204 is about 996.5962070969. The cubic root of 993204 is about 99.7729515468.

The spelling of 993204 in words is "nine hundred ninety-three thousand, two hundred four".