63646 has 12 divisors (see below), whose sum is σ = 105336. Its totient is φ = 28820.

The previous prime is 63629. The next prime is 63647. The reversal of 63646 is 64636.

63646 = 71² + 72² + ... + 81².

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 63646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63647) 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, 111 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2⁶³⁶⁴⁶ is an apocalyptic number.

63646 is a deficient number, since it is larger than the sum of its proper divisors (41690).

63646 is a wasteful number, since it uses less digits than its factorization.

63646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 63646 is about 252.2815887060. The cubic root of 63646 is about 39.9261136040.

Subtracting 63646 from its reverse (64636), we obtain a triangular number (990 = T₄₄).

The spelling of 63646 in words is "sixty-three thousand, six hundred forty-six".