993511064 has 192 divisors, whose sum is σ = 2543385600. Its totient is φ = 359251200.

The previous prime is 993511063. The next prime is 993511069. The reversal of 993511064 is 460115399.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993511063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3001379 + ... + 3001709.

It is an arithmetic number, because the mean of its divisors is an integer number (13246800).

Almost surely, 2^993511064 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 993511064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271692800).

993511064 is an abundant number, since it is smaller than the sum of its proper divisors (1549874536).

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

993511064 is a wasteful number, since it uses less digits than its factorization.

993511064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 993511064 is about 31520.0105329932. The cubic root of 993511064 is about 997.8323259176.

The spelling of 993511064 in words is "nine hundred ninety-three million, five hundred eleven thousand, sixty-four".