63276144 has 80 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 20151040.

The previous prime is 63276127. The next prime is 63276149. The reversal of 63276144 is 44167236.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63276149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182179 + ... + 182525.

It is an arithmetic number, because the mean of its divisors is an integer number (2136024).

Almost surely, 2^63276144 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 63276144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

63276144 is an abundant number, since it is smaller than the sum of its proper divisors (107605776).

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

63276144 is a wasteful number, since it uses less digits than its factorization.

63276144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 63276144 is about 7954.6303496768. The cubic root of 63276144 is about 398.4862452596.

Adding to 63276144 its product of digits (24192), we get a palindrome (63300336).

The spelling of 63276144 in words is "sixty-three million, two hundred seventy-six thousand, one hundred forty-four".