663872 has 56 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 281600.

The previous prime is 663869. The next prime is 663881. The reversal of 663872 is 278366.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 6 + 6⁴ + 8 + 3¹² + 7² + 2¹⁷ .

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 663872.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16172 + ... + 16212.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁶⁶³⁸⁷² 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 663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096).

663872 is an abundant number, since it is smaller than the sum of its proper divisors (872320).

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

663872 is a wasteful number, since it uses less digits than its factorization.

663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 663872 is about 814.7834068021. The cubic root of 663872 is about 87.2358071949.

It can be divided in two parts, 66 and 3872, that multiplied together give a palindrome (255552).

The spelling of 663872 in words is "six hundred sixty-three thousand, eight hundred seventy-two".