635580 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 152640.

The previous prime is 635567. The next prime is 635599. The reversal of 635580 is 85536.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

635580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5887 + ... + 5993.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁶³⁵⁵⁸⁰ is an apocalyptic number.

635580 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 635580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

635580 is an abundant number, since it is smaller than the sum of its proper divisors (1541700).

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

635580 is a wasteful number, since it uses less digits than its factorization.

635580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 635580 is about 797.2327138295. The cubic root of 635580 is about 85.9785416086.

The spelling of 635580 in words is "six hundred thirty-five thousand, five hundred eighty".