632880 has 80 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 168192.

The previous prime is 632857. The next prime is 632881. The reversal of 632880 is 88236.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (632881) by changing a digit.

632880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2014 + ... + 2306.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁶³²⁸⁸⁰ is an apocalyptic number.

632880 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 632880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

632880 is an abundant number, since it is smaller than the sum of its proper divisors (1554480).

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

632880 is a wasteful number, since it uses less digits than its factorization.

632880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 632880 is about 795.5375541104. The cubic root of 632880 is about 85.8566206543.

Subtracting from 632880 its reverse (88236), we obtain a square (544644 = 738²).

The spelling of 632880 in words is "six hundred thirty-two thousand, eight hundred eighty".