993924120 has 128 divisors (see below), whose sum is σ = 3423283200. Its totient is φ = 226146816.

The previous prime is 993924119. The next prime is 993924131. The reversal of 993924120 is 21429399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189777 + ... + 194943.

It is an arithmetic number, because the mean of its divisors is an integer number (26744400).

Almost surely, 2^993924120 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 993924120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711641600).

993924120 is an abundant number, since it is smaller than the sum of its proper divisors (2429359080).

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

993924120 is a wasteful number, since it uses less digits than its factorization.

993924120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 993924120 is about 31526.5621341750. The cubic root of 993924120 is about 997.9705909516.

The spelling of 993924120 in words is "nine hundred ninety-three million, nine hundred twenty-four thousand, one hundred twenty".