663360 has 56 divisors (see below), whose sum is σ = 2109216. Its totient is φ = 176640.

The previous prime is 663359. The next prime is 663371. The reversal of 663360 is 63366.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 663360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615 + ... + 1305.

2⁶⁶³³⁶⁰ is an apocalyptic number.

663360 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 663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054608).

663360 is an abundant number, since it is smaller than the sum of its proper divisors (1445856).

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

663360 is a wasteful number, since it uses less digits than its factorization.

663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 663360 is about 814.4691522704. The cubic root of 663360 is about 87.2133750491.

The spelling of 663360 in words is "six hundred sixty-three thousand, three hundred sixty".