663828 has 48 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 195040.

The previous prime is 663827. The next prime is 663853. The reversal of 663828 is 828366.

It is a super-2 number, since 2×663828² = 881335227168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 663828.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6151 + ... + 6257.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁶⁶³⁸²⁸ 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 663828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

663828 is an abundant number, since it is smaller than the sum of its proper divisors (1077996).

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

663828 is a wasteful number, since it uses less digits than its factorization.

663828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 663828 is about 814.7564053139. The cubic root of 663828 is about 87.2338798854.

It can be divided in two parts, 6638 and 28, that added together give a palindrome (6666).

The spelling of 663828 in words is "six hundred sixty-three thousand, eight hundred twenty-eight".