993352806 has 48 divisors (see below), whose sum is σ = 2301066144. Its totient is φ = 308604672.

The previous prime is 993352799. The next prime is 993352837. The reversal of 993352806 is 608253399.

993352806 is a `hidden beast` number, since 99 + 33 + 528 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15760 + ... + 47276.

It is an arithmetic number, because the mean of its divisors is an integer number (47938878).

Almost surely, 2^993352806 is an apocalyptic number.

It is a pronic number, being equal to 31517×31518.

It is a practical number, because each smaller number is the sum of distinct divisors of 993352806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150533072).

993352806 is an abundant number, since it is smaller than the sum of its proper divisors (1307713338).

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

993352806 is a wasteful number, since it uses less digits than its factorization.

993352806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31645 (or 31642 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 993352806 is about 31517.4999960339. The cubic root of 993352806 is about 997.7793409905.

The spelling of 993352806 in words is "nine hundred ninety-three million, three hundred fifty-two thousand, eight hundred six".