63132000 has 96 divisors (see below), whose sum is σ = 206859744. Its totient is φ = 16832000.

The previous prime is 63131963. The next prime is 63132001. The reversal of 63132000 is 23136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63132001) 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, 9370 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (2154789).

Almost surely, 2^63132000 is an apocalyptic number.

63132000 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 63132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103429872).

63132000 is an abundant number, since it is smaller than the sum of its proper divisors (143727744).

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

63132000 is a wasteful number, since it uses less digits than its factorization.

63132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 63132000 is about 7945.5648005664. The cubic root of 63132000 is about 398.1834293328.

Adding to 63132000 its reverse (23136), we get a palindrome (63155136).

The spelling of 63132000 in words is "sixty-three million, one hundred thirty-two thousand".