663600 has 120 divisors (see below), whose sum is σ = 2460160. Its totient is φ = 149760.

The previous prime is 663599. The next prime is 663601. The reversal of 663600 is 6366.

It is an interprime number because it is at equal distance from previous prime (663599) and next prime (663601).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663601) 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 23 ways as a sum of consecutive naturals, for example, 8361 + ... + 8439.

2⁶⁶³⁶⁰⁰ is an apocalyptic number.

663600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230080).

663600 is an abundant number, since it is smaller than the sum of its proper divisors (1796560).

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

663600 is a wasteful number, since it uses less digits than its factorization.

663600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 663600 is about 814.6164741767. The cubic root of 663600 is about 87.2238915541.

Adding to 663600 its reverse (6366), we get a palindrome (669966).

The spelling of 663600 in words is "six hundred sixty-three thousand, six hundred".