632352 has 48 divisors (see below), whose sum is σ = 1899072. Its totient is φ = 180480.

The previous prime is 632351. The next prime is 632353. The reversal of 632352 is 253236.

It is an interprime number because it is at equal distance from previous prime (632351) and next prime (632353).

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632351) 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, 202 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (39564).

2⁶³²³⁵² 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 632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949536).

632352 is an abundant number, since it is smaller than the sum of its proper divisors (1266720).

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

632352 is a wasteful number, since it uses less digits than its factorization.

632352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 632352 is about 795.2056337829. The cubic root of 632352 is about 85.8327378181.

Adding to 632352 its reverse (253236), we get a palindrome (885588).

It can be divided in two parts, 63 and 2352, that added together give a triangular number (2415 = T₆₉).

The spelling of 632352 in words is "six hundred thirty-two thousand, three hundred fifty-two".