993204072 has 128 divisors (see below), whose sum is σ = 3172089600. Its totient is φ = 282057984.

The previous prime is 993204059. The next prime is 993204077. The reversal of 993204072 is 270402399.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (993204077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259678 + ... + 263474.

It is an arithmetic number, because the mean of its divisors is an integer number (24781950).

Almost surely, 2^993204072 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 993204072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586044800).

993204072 is an abundant number, since it is smaller than the sum of its proper divisors (2178885528).

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

993204072 is a wasteful number, since it uses less digits than its factorization.

993204072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 993204072 is about 31515.1403614199. The cubic root of 993204072 is about 997.7295395775.

The spelling of 993204072 in words is "nine hundred ninety-three million, two hundred four thousand, seventy-two".