63009144 has 128 divisors (see below), whose sum is σ = 199411200. Its totient is φ = 18247680.

The previous prime is 63009127. The next prime is 63009179. The reversal of 63009144 is 44190036.

63009144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63009144² = 7940304455225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 54072 + ... + 55224.

It is an arithmetic number, because the mean of its divisors is an integer number (1557900).

Almost surely, 2^63009144 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 63009144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99705600).

63009144 is an abundant number, since it is smaller than the sum of its proper divisors (136402056).

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

63009144 is a wasteful number, since it uses less digits than its factorization.

63009144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1192 counting only the distinct ones).

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

The square root of 63009144 is about 7937.8299301509. The cubic root of 63009144 is about 397.9249709161.

The spelling of 63009144 in words is "sixty-three million, nine thousand, one hundred forty-four".