63504144 has 120 divisors (see below), whose sum is σ = 198237312. Its totient is φ = 18812160.

The previous prime is 63504143. The next prime is 63504149. The reversal of 63504144 is 44140536.

It is not an unprimeable number, because it can be changed into a prime (63504143) 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, 74022 + ... + 74874.

Almost surely, 2^63504144 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 63504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99118656).

63504144 is an abundant number, since it is smaller than the sum of its proper divisors (134733168).

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

63504144 is a wasteful number, since it uses less digits than its factorization.

63504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 63504144 is about 7968.9487386982. The cubic root of 63504144 is about 398.9642872289.

It can be divided in two parts, 63504 and 144, that multiplied together give a square (9144576 = 3024²).

The spelling of 63504144 in words is "sixty-three million, five hundred four thousand, one hundred forty-four".