632128 has 56 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 251904.

The previous prime is 632123. The next prime is 632141. The reversal of 632128 is 821236.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 632099 and 632108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7575 + ... + 7657.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁶³²¹²⁸ is an apocalyptic number.

632128 is a gapful number since it is divisible by the number (68) 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 632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096).

632128 is an abundant number, since it is smaller than the sum of its proper divisors (904064).

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

632128 is a wasteful number, since it uses less digits than its factorization.

632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

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

The square root of 632128 is about 795.0647772352. The cubic root of 632128 is about 85.8226016893.

The spelling of 632128 in words is "six hundred thirty-two thousand, one hundred twenty-eight".