663560 has 32 divisors (see below), whose sum is σ = 1526040. Its totient is φ = 259584.

The previous prime is 663557. The next prime is 663563. The reversal of 663560 is 65366.

663560 = T₁₃₁ + T₁₃₂ + ... + T₁₈₃.

It is an interprime number because it is at equal distance from previous prime (663557) and next prime (663563).

It can be written as a sum of positive squares in 4 ways, for example, as 386884 + 276676 = 622^2 + 526^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (663563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1964 + ... + 2276.

2⁶⁶³⁵⁶⁰ 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 663560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763020).

663560 is an abundant number, since it is smaller than the sum of its proper divisors (862480).

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

663560 is a wasteful number, since it uses less digits than its factorization.

663560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 663560 is about 814.5919223759. The cubic root of 663560 is about 87.2221389793. Note that the first 3 decimals are identical.

The spelling of 663560 in words is "six hundred sixty-three thousand, five hundred sixty".