63624240 has 120 divisors (see below), whose sum is σ = 216111168. Its totient is φ = 16773120.

The previous prime is 63624227. The next prime is 63624247. The reversal of 63624240 is 4242636.

63624240 is a `hidden beast` number, since 636 + 2 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (63624247) 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, 69385 + ... + 70295.

Almost surely, 2^63624240 is an apocalyptic number.

63624240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63624240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

63624240 is an abundant number, since it is smaller than the sum of its proper divisors (152486928).

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

63624240 is a wasteful number, since it uses less digits than its factorization.

63624240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 63624240 is about 7976.4804268549. The cubic root of 63624240 is about 399.2156295796.

Adding to 63624240 its reverse (4242636), we get a palindrome (67866876).

The spelling of 63624240 in words is "sixty-three million, six hundred twenty-four thousand, two hundred forty".