663960 has 64 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 160640.

The previous prime is 663959. The next prime is 663961. The reversal of 663960 is 69366.

It is an interprime number because it is at equal distance from previous prime (663959) and next prime (663961).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 663960.

It is not an unprimeable number, because it can be changed into a prime (663961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁶⁶³⁹⁶⁰ is an apocalyptic number.

663960 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 663960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

663960 is an abundant number, since it is smaller than the sum of its proper divisors (1513320).

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

663960 is a wasteful number, since it uses less digits than its factorization.

663960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 663960 is about 814.8374070942. The cubic root of 663960 is about 87.2396615583.

The spelling of 663960 in words is "six hundred sixty-three thousand, nine hundred sixty".