630972 has 36 divisors (see below), whose sum is σ = 1690416. Its totient is φ = 197760.

The previous prime is 630967. The next prime is 630997. The reversal of 630972 is 279036.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

630972 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 11 ways as a sum of consecutive naturals, for example, 97 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (46956).

2⁶³⁰⁹⁷² 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 630972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845208).

630972 is an abundant number, since it is smaller than the sum of its proper divisors (1059444).

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

630972 is a wasteful number, since it uses less digits than its factorization.

630972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 630972 is about 794.3374597739. The cubic root of 630972 is about 85.7702539231.

The spelling of 630972 in words is "six hundred thirty thousand, nine hundred seventy-two".