993980820 has 288 divisors, whose sum is σ = 3564933120. Its totient is φ = 202106880.

The previous prime is 993980809. The next prime is 993980821. The reversal of 993980820 is 28089399.

It is a self number, because there is not a number n which added to its sum of digits gives 993980820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993980821) 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, 2306005 + ... + 2306435.

It is an arithmetic number, because the mean of its divisors is an integer number (12378240).

Almost surely, 2^993980820 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 993980820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782466560).

993980820 is an abundant number, since it is smaller than the sum of its proper divisors (2570952300).

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

993980820 is a wasteful number, since it uses less digits than its factorization.

993980820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 993980820 is about 31527.4613630720. The cubic root of 993980820 is about 997.9895675366.

The spelling of 993980820 in words is "nine hundred ninety-three million, nine hundred eighty thousand, eight hundred twenty".