63432000 has 168 divisors, whose sum is σ = 227164392. Its totient is φ = 16896000.

The previous prime is 63431987. The next prime is 63432001. The reversal of 63432000 is 23436.

63432000 is a `hidden beast` number, since 634 + 32 + 0 + 0 + 0 = 666.

63432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 54287424 = 3024^2 + 7368^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71560 + ... + 72440.

It is an arithmetic number, because the mean of its divisors is an integer number (1352169).

Almost surely, 2^63432000 is an apocalyptic number.

63432000 is a gapful number since it is divisible by the number (60) 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 63432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113582196).

63432000 is an abundant number, since it is smaller than the sum of its proper divisors (163732392).

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

63432000 is a wasteful number, since it uses less digits than its factorization.

63432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 63432000 is about 7964.4208829017. The cubic root of 63432000 is about 398.8131486091.

Adding to 63432000 its reverse (23436), we get a palindrome (63455436).

The spelling of 63432000 in words is "sixty-three million, four hundred thirty-two thousand".