664048 has 60 divisors (see below), whose sum is σ = 1649200. Its totient is φ = 258720.

The previous prime is 664043. The next prime is 664061. The reversal of 664048 is 840466.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60363 + ... + 60373.

2⁶⁶⁴⁰⁴⁸ 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 664048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824600).

664048 is an abundant number, since it is smaller than the sum of its proper divisors (985152).

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

664048 is a wasteful number, since it uses less digits than its factorization.

664048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 664048 is about 814.8914038079. The cubic root of 664048 is about 87.2435155812.

Multiplying 664048 by its sum of digits (28), we get a square (18593344 = 4312²).

664048 divided by its sum of digits (28) gives a square (23716 = 154²).

It can be divided in two parts, 66 and 4048, that added together give a palindrome (4114).

The spelling of 664048 in words is "six hundred sixty-four thousand, forty-eight".