632580 has 48 divisors (see below), whose sum is σ = 1909824. Its totient is φ = 155520.

The previous prime is 632561. The next prime is 632591. The reversal of 632580 is 85236.

632580 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 632580.

It is an unprimeable number.

632580 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 15 ways as a sum of consecutive naturals, for example, 375 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (39788).

2⁶³²⁵⁸⁰ is an apocalyptic number.

632580 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 632580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954912).

632580 is an abundant number, since it is smaller than the sum of its proper divisors (1277244).

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

632580 is a wasteful number, since it uses less digits than its factorization.

632580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 632580 is about 795.3489800081. The cubic root of 632580 is about 85.8430524912.

The spelling of 632580 in words is "six hundred thirty-two thousand, five hundred eighty".