63042912 has 144 divisors (see below), whose sum is σ = 194004720. Its totient is φ = 19353600.

The previous prime is 63042907. The next prime is 63042923. The reversal of 63042912 is 21924036.

63042912 is a `hidden beast` number, since 630 + 4 + 29 + 1 + 2 = 666.

63042912 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 (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 224212 + ... + 224492.

It is an arithmetic number, because the mean of its divisors is an integer number (1347255).

Almost surely, 2^63042912 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 63042912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97002360).

63042912 is an abundant number, since it is smaller than the sum of its proper divisors (130961808).

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

63042912 is a wasteful number, since it uses less digits than its factorization.

63042912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63042912 is about 7939.9566749448. The cubic root of 63042912 is about 397.9960438316.

Adding to 63042912 its reverse (21924036), we get a palindrome (84966948).

It can be divided in two parts, 6304 and 2912, that added together give a square (9216 = 96²).

The spelling of 63042912 in words is "sixty-three million, forty-two thousand, nine hundred twelve".