63613840 has 40 divisors (see below), whose sum is σ = 149385528. Its totient is φ = 25190400.

The previous prime is 63613831. The next prime is 63613853. The reversal of 63613840 is 4831636.

63613840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5914624 + 57699216 = 2432^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4144 + ... + 12016.

Almost surely, 2^63613840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692764).

63613840 is an abundant number, since it is smaller than the sum of its proper divisors (85771688).

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

63613840 is a wasteful number, since it uses less digits than its factorization.

63613840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 63613840 is about 7975.8284836122. The cubic root of 63613840 is about 399.1938765036.

It can be divided in two parts, 6361 and 3840, that added together give a palindrome (10201).

The spelling of 63613840 in words is "sixty-three million, six hundred thirteen thousand, eight hundred forty".