63744 has 36 divisors (see below), whose sum is σ = 171696. Its totient is φ = 20992.

The previous prime is 63743. The next prime is 63761. The reversal of 63744 is 44736.

63744 = T₇₅ + T₇₆ + ... + T₉₂.

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

It is a d-powerful number, because it can be written as 6⁶ + 3² + 7⁵ + 4² + 4⁴ .

It is a nialpdrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (63743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 727 + ... + 809.

2⁶³⁷⁴⁴ is an apocalyptic number.

63744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85848).

63744 is an abundant number, since it is smaller than the sum of its proper divisors (107952).

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

63744 is an equidigital number, since it uses as much as digits as its factorization.

63744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 63744 is about 252.4757414090. The cubic root of 63744 is about 39.9465953971.

The spelling of 63744 in words is "sixty-three thousand, seven hundred forty-four".