63144432 has 120 divisors (see below), whose sum is σ = 192956400. Its totient is φ = 19160064.

The previous prime is 63144421. The next prime is 63144437. The reversal of 63144432 is 23444136.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 63144396 and 63144405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63144437) 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, 166419 + ... + 166797.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^63144432 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 63144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478200).

63144432 is an abundant number, since it is smaller than the sum of its proper divisors (129811968).

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

63144432 is a wasteful number, since it uses less digits than its factorization.

63144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 63144432 is about 7946.3470852965. The cubic root of 63144432 is about 398.2095644756.

Adding to 63144432 its reverse (23444136), we get a palindrome (86588568).

The spelling of 63144432 in words is "sixty-three million, one hundred forty-four thousand, four hundred thirty-two".