993031200 has 864 divisors, whose sum is σ = 4533459840. Its totient is φ = 199065600.

The previous prime is 993031163. The next prime is 993031201. The reversal of 993031200 is 2130399.

It is a super-2 number, since 2×993031200² = 1972221928346880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (993031201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16279170 + ... + 16279230.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2^993031200 is an apocalyptic number.

993031200 is a gapful number since it is divisible by the number (90) 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 993031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266729920).

993031200 is an abundant number, since it is smaller than the sum of its proper divisors (3540428640).

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

993031200 is a wasteful number, since it uses less digits than its factorization.

993031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 993031200 is about 31512.3975603254. The cubic root of 993031200 is about 997.6716496589.

Adding to 993031200 its reverse (2130399), we get a palindrome (995161599).

The spelling of 993031200 in words is "nine hundred ninety-three million, thirty-one thousand, two hundred".