63264384 has 48 divisors (see below), whose sum is σ = 182053170. Its totient is φ = 21087744.

The previous prime is 63264359. The next prime is 63264389. The reversal of 63264384 is 48346236.

It is a happy number.

63264384 is a `hidden beast` number, since 6 + 3 + 2 + 643 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 6110784 = 7560^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (63264389) 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 5 ways as a sum of consecutive naturals, for example, 26307 + ... + 28610.

Almost surely, 2^63264384 is an apocalyptic number.

63264384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63264384 is an abundant number, since it is smaller than the sum of its proper divisors (118788786).

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

63264384 is a wasteful number, since it uses less digits than its factorization.

63264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54937 (or 54922 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 63264384 is about 7953.8911232176. The cubic root of 63264384 is about 398.4615572372.

The spelling of 63264384 in words is "sixty-three million, two hundred sixty-four thousand, three hundred eighty-four".