993124224 has 288 divisors, whose sum is σ = 3215947800. Its totient is φ = 293289984.

The previous prime is 993124217. The next prime is 993124261. The reversal of 993124224 is 422421399.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6325554 + ... + 6325710.

Almost surely, 2^993124224 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 993124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607973900).

993124224 is an abundant number, since it is smaller than the sum of its proper divisors (2222823576).

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

993124224 is a wasteful number, since it uses less digits than its factorization.

993124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 993124224 is about 31513.8735162785. The cubic root of 993124224 is about 997.7028015870.

The spelling of 993124224 in words is "nine hundred ninety-three million, one hundred twenty-four thousand, two hundred twenty-four".