636480 has 168 divisors, whose sum is σ = 2496312. Its totient is φ = 147456.

The previous prime is 636473. The next prime is 636499. The reversal of 636480 is 84636.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 589824 = 216^2 + 768^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 636480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37432 + ... + 37448.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2⁶³⁶⁴⁸⁰ is an apocalyptic number.

636480 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 636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248156).

636480 is an abundant number, since it is smaller than the sum of its proper divisors (1859832).

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

636480 is a wasteful number, since it uses less digits than its factorization.

636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 636480 is about 797.7969666525. The cubic root of 636480 is about 86.0191051839.

Adding to 636480 its product of nonzero digits (3456), we get a palindrome (639936).

The spelling of 636480 in words is "six hundred thirty-six thousand, four hundred eighty".