632040 has 64 divisors (see below), whose sum is σ = 1987200. Its totient is φ = 160512.

The previous prime is 632029. The next prime is 632041. The reversal of 632040 is 40236.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (632041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (31050).

2⁶³²⁰⁴⁰ is an apocalyptic number.

632040 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 632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993600).

632040 is an abundant number, since it is smaller than the sum of its proper divisors (1355160).

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

632040 is a wasteful number, since it uses less digits than its factorization.

632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 632040 is about 795.0094339063. The cubic root of 632040 is about 85.8186189835.

Subtracting from 632040 its sum of digits (15), we obtain a square (632025 = 795²).

Adding to 632040 its reverse (40236), we get a palindrome (672276).

The spelling of 632040 in words is "six hundred thirty-two thousand, forty".