632128000 has 320 divisors, whose sum is σ = 1930376448. Its totient is φ = 201523200.

The previous prime is 632127971. The next prime is 632128009. The reversal of 632128000 is 821236.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (632128009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7615959 + ... + 7616041.

Almost surely, 2^632128000 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 632128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965188224).

632128000 is an abundant number, since it is smaller than the sum of its proper divisors (1298248448).

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

632128000 is an equidigital number, since it uses as much as digits as its factorization.

632128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 632128000 is about 25142.1558343751. The cubic root of 632128000 is about 858.2260168926.

Adding to 632128000 its reverse (821236), we get a palindrome (632949236).

The spelling of 632128000 in words is "six hundred thirty-two million, one hundred twenty-eight thousand".