993804820 has 48 divisors (see below), whose sum is σ = 2204471808. Its totient is φ = 375742080.

The previous prime is 993804803. The next prime is 993804869. The reversal of 993804820 is 28408399.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8022 + ... + 45298.

It is an arithmetic number, because the mean of its divisors is an integer number (45926496).

Almost surely, 2^993804820 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 993804820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102235904).

993804820 is an abundant number, since it is smaller than the sum of its proper divisors (1210666988).

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

993804820 is a wasteful number, since it uses less digits than its factorization.

993804820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37360 (or 37358 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 993804820 is about 31524.6700220637. The cubic root of 993804820 is about 997.9306607890.

The spelling of 993804820 in words is "nine hundred ninety-three million, eight hundred four thousand, eight hundred twenty".