993345120 has 288 divisors, whose sum is σ = 3640684320. Its totient is φ = 255467520.

The previous prime is 993345103. The next prime is 993345151. The reversal of 993345120 is 21543399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127080 + ... + 1127960.

It is an arithmetic number, because the mean of its divisors is an integer number (12641265).

Almost surely, 2^993345120 is an apocalyptic number.

993345120 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 993345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820342160).

993345120 is an abundant number, since it is smaller than the sum of its proper divisors (2647339200).

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

993345120 is a wasteful number, since it uses less digits than its factorization.

993345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 993345120 is about 31517.3780635382. The cubic root of 993345120 is about 997.7767675672.

The spelling of 993345120 in words is "nine hundred ninety-three million, three hundred forty-five thousand, one hundred twenty".