993039030 has 192 divisors, whose sum is σ = 2814289920. Its totient is φ = 242297088.

The previous prime is 993039029. The next prime is 993039031. The reversal of 993039030 is 30930399.

993039030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (993039029) and next prime (993039031).

It is a super-2 number, since 2×993039030² = 1972253030206681800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993039031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5740024 + ... + 5740196.

It is an arithmetic number, because the mean of its divisors is an integer number (14657760).

Almost surely, 2^993039030 is an apocalyptic number.

993039030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 993039030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407144960).

993039030 is an abundant number, since it is smaller than the sum of its proper divisors (1821250890).

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

993039030 is a wasteful number, since it uses less digits than its factorization.

993039030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 36.

The square root of 993039030 is about 31512.5217968985. The cubic root of 993039030 is about 997.6742718485.

The spelling of 993039030 in words is "nine hundred ninety-three million, thirty-nine thousand, thirty".