993909120 has 256 divisors, whose sum is σ = 3362964480. Its totient is φ = 249159680.

The previous prime is 993909101. The next prime is 993909121. The reversal of 993909120 is 21909399.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993909121) 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, 3135202 + ... + 3135518.

It is an arithmetic number, because the mean of its divisors is an integer number (13136580).

Almost surely, 2^993909120 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 993909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681482240).

993909120 is an abundant number, since it is smaller than the sum of its proper divisors (2369055360).

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

993909120 is a wasteful number, since it uses less digits than its factorization.

993909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 993909120 is about 31526.3242386422. The cubic root of 993909120 is about 997.9655705703.

It can be divided in two parts, 9939091 and 20, that added together give a triangular number (9939111 = T₄₄₅₈).

The spelling of 993909120 in words is "nine hundred ninety-three million, nine hundred nine thousand, one hundred twenty".