632520 has 96 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 144000.

The previous prime is 632503. The next prime is 632521. The reversal of 632520 is 25236.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 632493 and 632502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632521) by changing a digit.

632520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395 + ... + 2645.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁶³²⁵²⁰ is an apocalyptic number.

632520 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 632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

632520 is an abundant number, since it is smaller than the sum of its proper divisors (1726200).

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

632520 is a wasteful number, since it uses less digits than its factorization.

632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 632520 is about 795.3112598222. The cubic root of 632520 is about 85.8403383439.

Adding to 632520 its reverse (25236), we get a palindrome (657756).

The spelling of 632520 in words is "six hundred thirty-two thousand, five hundred twenty".