63846 has 12 divisors (see below), whose sum is σ = 138372. Its totient is φ = 21276.

The previous prime is 63841. The next prime is 63853. The reversal of 63846 is 64836.

63846 = 35² + 36² + ... + 61².

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (63841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1756 + ... + 1791.

It is an arithmetic number, because the mean of its divisors is an integer number (11531).

2⁶³⁸⁴⁶ is an apocalyptic number.

63846 is an abundant number, since it is smaller than the sum of its proper divisors (74526).

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

63846 is a wasteful number, since it uses less digits than its factorization.

63846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3552 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 63846 is about 252.6776602709. The cubic root of 63846 is about 39.9678908987.

Subtracting 63846 from its reverse (64836), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 63 and 846, that added together give a palindrome (909).

The spelling of 63846 in words is "sixty-three thousand, eight hundred forty-six".