663832 has 24 divisors (see below), whose sum is σ = 1350540. Its totient is φ = 305760.

The previous prime is 663827. The next prime is 663853. The reversal of 663832 is 238366.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 6 + 6⁴ + 8 + 3² + 3¹² + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 663832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1107 + ... + 1597.

2⁶⁶³⁸³² 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 663832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675270).

663832 is an abundant number, since it is smaller than the sum of its proper divisors (686708).

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

663832 is a wasteful number, since it uses less digits than its factorization.

663832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 663832 is about 814.7588600316. The cubic root of 663832 is about 87.2340550989.

It can be divided in two parts, 6638 and 32, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 663832 in words is "six hundred sixty-three thousand, eight hundred thirty-two".