63924224 has 120 divisors (see below), whose sum is σ = 160581330. Its totient is φ = 25288704.

The previous prime is 63924221. The next prime is 63924229. The reversal of 63924224 is 42242936.

It can be written as a sum of positive squares in only one way, i.e., 61465600 + 2458624 = 7840^2 + 1568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (63924221) 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 9 ways as a sum of consecutive naturals, for example, 4917242 + ... + 4917254.

Almost surely, 2^63924224 is an apocalyptic number.

63924224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80290665).

63924224 is an abundant number, since it is smaller than the sum of its proper divisors (96657106).

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

63924224 is an frugal number, since it uses more digits than its factorization.

63924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 22 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 63924224 is about 7995.2625973135. The cubic root of 63924224 is about 399.8420709876.

The spelling of 63924224 in words is "sixty-three million, nine hundred twenty-four thousand, two hundred twenty-four".