993717504 has 144 divisors (see below), whose sum is σ = 3164929600. Its totient is φ = 305731584.

The previous prime is 993717503. The next prime is 993717559. The reversal of 993717504 is 405717399.

993717504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 993717504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993717503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84327 + ... + 95385.

Almost surely, 2^993717504 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 993717504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582464800).

993717504 is an abundant number, since it is smaller than the sum of its proper divisors (2171212096).

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

993717504 is a wasteful number, since it uses less digits than its factorization.

993717504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11077 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 993717504 is about 31523.2851079960. The cubic root of 993717504 is about 997.9014337671.

The spelling of 993717504 in words is "nine hundred ninety-three million, seven hundred seventeen thousand, five hundred four".