63682641 has 24 divisors (see below), whose sum is σ = 100747296. Its totient is φ = 38442240.

The previous prime is 63682631. The next prime is 63682643. The reversal of 63682641 is 14628636.

63682641 is a `hidden beast` number, since 6 + 3 + 6 + 8 + 2 + 641 = 666.

It is not a de Polignac number, because 63682641 - 2¹⁰ = 63681617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63682596 and 63682605.

It is not an unprimeable number, because it can be changed into a prime (63682643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26881 + ... + 29153.

It is an arithmetic number, because the mean of its divisors is an integer number (4197804).

Almost surely, 2^63682641 is an apocalyptic number.

It is an amenable number.

63682641 is a deficient number, since it is larger than the sum of its proper divisors (37064655).

63682641 is a wasteful number, since it uses less digits than its factorization.

63682641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2570 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 63682641 is about 7980.1404122985. The cubic root of 63682641 is about 399.3377395495.

It can be divided in two parts, 6368 and 2641, that added together give a palindrome (9009).

The spelling of 63682641 in words is "sixty-three million, six hundred eighty-two thousand, six hundred forty-one".