63546336 has 288 divisors, whose sum is σ = 229824000. Its totient is φ = 16982784.

The previous prime is 63546331. The next prime is 63546347. The reversal of 63546336 is 63364536.

63546336 = 196³ + 197³ + ... + 203³.

It is a happy number.

63546336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63546336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63546331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804345 + ... + 804423.

It is an arithmetic number, because the mean of its divisors is an integer number (798000).

Almost surely, 2^63546336 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 63546336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

63546336 is an abundant number, since it is smaller than the sum of its proper divisors (166277664).

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

63546336 is a wasteful number, since it uses less digits than its factorization.

63546336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 63546336 is about 7971.5955742875. The cubic root of 63546336 is about 399.0526246379.

It can be divided in two parts, 635 and 46336, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 63546336 in words is "sixty-three million, five hundred forty-six thousand, three hundred thirty-six".