63336 has 64 divisors (see below), whose sum is σ = 201600. Its totient is φ = 16128.

The previous prime is 63331. The next prime is 63337.

63336 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63336² = 8022897792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

Its product of digits (972) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63331) by changing a digit.

63336 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 15 ways as a sum of consecutive naturals, for example, 2170 + ... + 2198.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁶³³³⁶ 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 63336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

63336 is an abundant number, since it is smaller than the sum of its proper divisors (138264).

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

63336 is a wasteful number, since it uses less digits than its factorization.

63336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 63336 is about 251.6664459160. Note that the first 3 decimals coincide. The cubic root of 63336 is about 39.8611854872.

The spelling of 63336 in words is "sixty-three thousand, three hundred thirty-six".