63680 has 28 divisors (see below), whose sum is σ = 152400. Its totient is φ = 25344.

The previous prime is 63671. The next prime is 63689. The reversal of 63680 is 8636.

It is an interprime number because it is at equal distance from previous prime (63671) and next prime (63689).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63689) 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 3 ways as a sum of consecutive naturals, for example, 221 + ... + 419.

2⁶³⁶⁸⁰ 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 63680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76200).

63680 is an abundant number, since it is smaller than the sum of its proper divisors (88720).

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

63680 is a wasteful number, since it uses less digits than its factorization.

63680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 63680 is about 252.3489647294. The cubic root of 63680 is about 39.9332219125.

The spelling of 63680 in words is "sixty-three thousand, six hundred eighty".