630960 has 80 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 152320.

The previous prime is 630941. The next prime is 630967. The reversal of 630960 is 69036.

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

It is a super-2 number, since 2×630960² = 796221043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 630960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630967) by changing a digit.

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, 2521 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁶³⁰⁹⁶⁰ is an apocalyptic number.

630960 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 630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

630960 is an abundant number, since it is smaller than the sum of its proper divisors (1511760).

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

630960 is a wasteful number, since it uses less digits than its factorization.

630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 630960 is about 794.3299062732. The cubic root of 630960 is about 85.7697101855.

Adding to 630960 its reverse (69036), we get a palindrome (699996).

The spelling of 630960 in words is "six hundred thirty thousand, nine hundred sixty".