63468 has 36 divisors (see below), whose sum is σ = 168168. Its totient is φ = 20160.

The previous prime is 63467. The next prime is 63473. The reversal of 63468 is 86436.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (63463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1455 + ... + 1497.

2⁶³⁴⁶⁸ 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 63468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84084).

63468 is an abundant number, since it is smaller than the sum of its proper divisors (104700).

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

63468 is a wasteful number, since it uses less digits than its factorization.

63468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 63468 is about 251.9285613026. The cubic root of 63468 is about 39.8888581399. Note that the first 4 decimals are identical.

The spelling of 63468 in words is "sixty-three thousand, four hundred sixty-eight".