993285936 has 80 divisors (see below), whose sum is σ = 2897914720. Its totient is φ = 325658880.

The previous prime is 993285907. The next prime is 993285941. The reversal of 993285936 is 639582399.

993285936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7506 + ... + 45198.

It is an arithmetic number, because the mean of its divisors is an integer number (36223934).

Almost surely, 2^993285936 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 993285936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448957360).

993285936 is an abundant number, since it is smaller than the sum of its proper divisors (1904628784).

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

993285936 is a wasteful number, since it uses less digits than its factorization.

993285936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37771 (or 37759 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 993285936 is about 31516.4391389637. The cubic root of 993285936 is about 997.7569511604.

The spelling of 993285936 in words is "nine hundred ninety-three million, two hundred eighty-five thousand, nine hundred thirty-six".