632500 has 60 divisors (see below), whose sum is σ = 1574496. Its totient is φ = 220000.

The previous prime is 632497. The next prime is 632501. The reversal of 632500 is 5236.

632500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sliding number, since 632500 = 312500 + 320000 and 1/312500 + 1/320000 = 0.00000632500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27489 + ... + 27511.

2⁶³²⁵⁰⁰ 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 632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787248).

632500 is an abundant number, since it is smaller than the sum of its proper divisors (941996).

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

632500 is a wasteful number, since it uses less digits than its factorization.

632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 632500 is about 795.2986860293. The cubic root of 632500 is about 85.8394335900.

Adding to 632500 its reverse (5236), we get a palindrome (637736).

Subtracting from 632500 its reverse (5236), we obtain a square (627264 = 792²).

It can be divided in two parts, 6 and 32500, that multiplied together give a triangular number (195000 = T₆₂₄).

The spelling of 632500 in words is "six hundred thirty-two thousand, five hundred".