4493664 has 96 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1282176.

The previous prime is 4493663. The next prime is 4493689. The reversal of 4493664 is 4663944.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4493664² = 40386032289792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4493663) 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 15 ways as a sum of consecutive naturals, for example, 5677 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^4493664 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 4493664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4493664 is an abundant number, since it is smaller than the sum of its proper divisors (10505376).

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

4493664 is a wasteful number, since it uses less digits than its factorization.

4493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 755 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4493664 is about 2119.8264079872. The cubic root of 4493664 is about 165.0188408238.

The spelling of 4493664 in words is "four million, four hundred ninety-three thousand, six hundred sixty-four".