993908664 has 64 divisors (see below), whose sum is σ = 3155270400. Its totient is φ = 283973472.

The previous prime is 993908647. The next prime is 993908711. The reversal of 993908664 is 466809399.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 993908664.

It is a congruent number.

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, 327162 + ... + 330185.

It is an arithmetic number, because the mean of its divisors is an integer number (49301100).

Almost surely, 2^993908664 is an apocalyptic number.

It is an amenable number.

993908664 is an abundant number, since it is smaller than the sum of its proper divisors (2161361736).

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

993908664 is a wasteful number, since it uses less digits than its factorization.

993908664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657369 (or 657359 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 993908664 is about 31526.3170065899. The cubic root of 993908664 is about 997.9654179499.

The spelling of 993908664 in words is "nine hundred ninety-three million, nine hundred eight thousand, six hundred sixty-four".