63678 has 8 divisors (see below), whose sum is σ = 127368. Its totient is φ = 21224.

The previous prime is 63671. The next prime is 63689. The reversal of 63678 is 87636.

It is a sphenic number, since it is the product of 3 distinct primes.

63678 is an admirable number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5301 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (15921).

2⁶³⁶⁷⁸ is an apocalyptic number.

63678 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63684).

63678 is a wasteful number, since it uses less digits than its factorization.

63678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618.

The product of its digits is 6048, while the sum is 30.

The square root of 63678 is about 252.3450019319. The cubic root of 63678 is about 39.9328038468.

Subtracting from 63678 its product of digits (6048), we obtain a triangular number (57630 = T₃₃₉).

It can be divided in two parts, 63 and 678, that added together give a triangular number (741 = T₃₈).

The spelling of 63678 in words is "sixty-three thousand, six hundred seventy-eight".