632720 has 40 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 229760.

The previous prime is 632717. The next prime is 632743. The reversal of 632720 is 27236.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 632692 and 632701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2⁶³²⁷²⁰ 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 632720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

632720 is an abundant number, since it is smaller than the sum of its proper divisors (974320).

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

632720 is a wasteful number, since it uses less digits than its factorization.

632720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 632720 is about 795.4369868192. The cubic root of 632720 is about 85.8493848344.

Adding to 632720 its reverse (27236), we get a palindrome (659956).

The spelling of 632720 in words is "six hundred thirty-two thousand, seven hundred twenty".