634560 has 56 divisors (see below), whose sum is σ = 2017776. Its totient is φ = 168960.

The previous prime is 634541. The next prime is 634567. The reversal of 634560 is 65436.

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 634560.

It is not an unprimeable number, because it can be changed into a prime (634567) by changing a digit.

634560 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 7 ways as a sum of consecutive naturals, for example, 630 + ... + 1290.

2⁶³⁴⁵⁶⁰ is an apocalyptic number.

634560 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 634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008888).

634560 is an abundant number, since it is smaller than the sum of its proper divisors (1383216).

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

634560 is a wasteful number, since it uses less digits than its factorization.

634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 634560 is about 796.5927441296. The cubic root of 634560 is about 85.9325232380.

Adding to 634560 its reverse (65436), we get a palindrome (699996).

The spelling of 634560 in words is "six hundred thirty-four thousand, five hundred sixty".