635120 has 40 divisors (see below), whose sum is σ = 1566864. Its totient is φ = 238592.

The previous prime is 635119. The next prime is 635147. The reversal of 635120 is 21536.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127 + ... + 1593.

2⁶³⁵¹²⁰ 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 635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783432).

635120 is an abundant number, since it is smaller than the sum of its proper divisors (931744).

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

635120 is a wasteful number, since it uses less digits than its factorization.

635120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 635120 is about 796.9441636652. The cubic root of 635120 is about 85.9577943255.

Adding to 635120 its reverse (21536), we get a palindrome (656656).

The spelling of 635120 in words is "six hundred thirty-five thousand, one hundred twenty".