663120 has 80 divisors (see below), whose sum is σ = 2291520. Its totient is φ = 176256.

The previous prime is 663097. The next prime is 663127. The reversal of 663120 is 21366.

It is a happy number.

663120 is a `hidden beast` number, since 663 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 663093 and 663102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663127) by changing a digit.

663120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁶⁶³¹²⁰ is an apocalyptic number.

663120 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 663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145760).

663120 is an abundant number, since it is smaller than the sum of its proper divisors (1628400).

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

663120 is a wasteful number, since it uses less digits than its factorization.

663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 663120 is about 814.3218037115. The cubic root of 663120 is about 87.2028560072.

Adding to 663120 its reverse (21366), we get a palindrome (684486).

The spelling of 663120 in words is "six hundred sixty-three thousand, one hundred twenty".