4993664 has 32 divisors (see below), whose sum is σ = 10717140. Its totient is φ = 2304000.

The previous prime is 4993661. The next prime is 4993673. The reversal of 4993664 is 4663994.

It can be written as a sum of positive squares in 2 ways, for example, as 4840000 + 153664 = 2200^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4993661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 3164.

Almost surely, 2^4993664 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 4993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358570).

4993664 is an abundant number, since it is smaller than the sum of its proper divisors (5723476).

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

4993664 is a wasteful number, since it uses less digits than its factorization.

4993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3016 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 4993664 is about 2234.6507557111. The cubic root of 4993664 is about 170.9253347525.

The spelling of 4993664 in words is "four million, nine hundred ninety-three thousand, six hundred sixty-four".