63105840 has 240 divisors, whose sum is σ = 255340800. Its totient is φ = 13644288.

The previous prime is 63105839. The next prime is 63105857. The reversal of 63105840 is 4850136.

63105840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 95431 + ... + 96089.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 2^63105840 is an apocalyptic number.

63105840 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 63105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

63105840 is an abundant number, since it is smaller than the sum of its proper divisors (192234960).

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

63105840 is a wasteful number, since it uses less digits than its factorization.

63105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 63105840 is about 7943.9184285842. The cubic root of 63105840 is about 398.1284233264.

Adding to 63105840 its reverse (4850136), we get a palindrome (67955976).

The spelling of 63105840 in words is "sixty-three million, one hundred five thousand, eight hundred forty".