632832 has 48 divisors (see below), whose sum is σ = 1703520. Its totient is φ = 208896.

The previous prime is 632813. The next prime is 632839. The reversal of 632832 is 238236.

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 (24).

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

It is a d-powerful number, because it can be written as 6 + 3¹¹ + 8⁶ + 2² + 3¹¹ + 2¹⁴ .

Its product of digits (1728) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (632839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6093 + ... + 6195.

It is an arithmetic number, because the mean of its divisors is an integer number (35490).

2⁶³²⁸³² 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 632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851760).

632832 is an abundant number, since it is smaller than the sum of its proper divisors (1070688).

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

632832 is a wasteful number, since it uses less digits than its factorization.

632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 632832 is about 795.5073852580. The cubic root of 632832 is about 85.8544500364.

The spelling of 632832 in words is "six hundred thirty-two thousand, eight hundred thirty-two".