63546 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 16896.

The previous prime is 63541. The next prime is 63559. The reversal of 63546 is 64536.

63546 is a nontrivial binomial coefficient, being equal to C(357, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁶³⁵⁴⁶ is an apocalyptic number.

63546 is the 356-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

63546 is an abundant number, since it is smaller than the sum of its proper divisors (91974).

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

63546 is a wasteful number, since it uses less digits than its factorization.

63546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its digits is 2160, while the sum is 24.

The square root of 63546 is about 252.0833195592. The cubic root of 63546 is about 39.9051921309.

Subtracting 63546 from its reverse (64536), we obtain a triangular number (990 = T₄₄).

The spelling of 63546 in words is "sixty-three thousand, five hundred forty-six".