664752 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 201280.

The previous prime is 664739. The next prime is 664757. The reversal of 664752 is 257466.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 664752.

It is not an unprimeable number, because it can be changed into a prime (664757) 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 7 ways as a sum of consecutive naturals, for example, 102 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁶⁶⁴⁷⁵² 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 664752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

664752 is an abundant number, since it is smaller than the sum of its proper divisors (1210128).

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

664752 is a wasteful number, since it uses less digits than its factorization.

664752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 664752 is about 815.3232487793. The cubic root of 664752 is about 87.2743355133.

The spelling of 664752 in words is "six hundred sixty-four thousand, seven hundred fifty-two".