993503376 has 120 divisors (see below), whose sum is σ = 2882307584. Its totient is φ = 319127040.

The previous prime is 993503359. The next prime is 993503383. The reversal of 993503376 is 673305399.

993503376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2039805 + ... + 2040291.

Almost surely, 2^993503376 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 993503376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441153792).

993503376 is an abundant number, since it is smaller than the sum of its proper divisors (1888804208).

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

993503376 is a wasteful number, since it uses less digits than its factorization.

993503376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The square root of 993503376 is about 31519.8885784833. Note that the first 3 decimals coincide. The cubic root of 993503376 is about 997.8297520980.

The spelling of 993503376 in words is "nine hundred ninety-three million, five hundred three thousand, three hundred seventy-six".