63384 has 32 divisors (see below), whose sum is σ = 168000. Its totient is φ = 19872.

The previous prime is 63377. The next prime is 63389. The reversal of 63384 is 48336.

63384 = T₇₂ + T₇₃ + ... + T₉₀.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63389) 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, 387 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (5250).

2⁶³³⁸⁴ 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 63384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84000).

63384 is an abundant number, since it is smaller than the sum of its proper divisors (104616).

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

63384 is a wasteful number, since it uses less digits than its factorization.

63384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 63384 is about 251.7617921767. The cubic root of 63384 is about 39.8712527147.

It can be divided in two parts, 6338 and 4, that multiplied together give a palindrome (25352).

The spelling of 63384 in words is "sixty-three thousand, three hundred eighty-four".