663824 has 20 divisors (see below), whose sum is σ = 1470144. Its totient is φ = 284448.

The previous prime is 663823. The next prime is 663827. The reversal of 663824 is 428366.

663824 = T₄₃₂ + T₄₃₃ + ... + T₄₃₈.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 663824.

It is not an unprimeable number, because it can be changed into a prime (663821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2852 + ... + 3075.

2⁶⁶³⁸²⁴ is an apocalyptic number.

It is an amenable number.

663824 is an abundant number, since it is smaller than the sum of its proper divisors (806320).

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

663824 is a wasteful number, since it uses less digits than its factorization.

663824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5936 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 663824 is about 814.7539505888. The cubic root of 663824 is about 87.2337046713.

The spelling of 663824 in words is "six hundred sixty-three thousand, eight hundred twenty-four".