63296 has 28 divisors (see below), whose sum is σ = 134112. Its totient is φ = 29568.

The previous prime is 63281. The next prime is 63299. The reversal of 63296 is 69236.

63296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 6 + 3⁷ + 2¹¹ + 9⁵ + 6 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63299) by changing a digit.

63296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1451 + ... + 1493.

2⁶³²⁹⁶ 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 63296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67056).

63296 is an abundant number, since it is smaller than the sum of its proper divisors (70816).

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

63296 is a wasteful number, since it uses less digits than its factorization.

63296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 63296 is about 251.5869630963. The cubic root of 63296 is about 39.8527922448.

The spelling of 63296 in words is "sixty-three thousand, two hundred ninety-six".