635040 has 180 divisors, whose sum is σ = 2607066. Its totient is φ = 145152.

The previous prime is 635039. The next prime is 635051. The reversal of 635040 is 40536.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 63504 = 756^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 90717 + ... + 90723.

2⁶³⁵⁰⁴⁰ is an apocalyptic number.

635040 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 635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303533).

635040 is an abundant number, since it is smaller than the sum of its proper divisors (1972026).

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

635040 is a wasteful number, since it uses less digits than its factorization.

635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 635040 is about 796.8939703624. The cubic root of 635040 is about 85.9541850799.

Multiplying 635040 by its product of nonzero digits (360), we get a square (228614400 = 15120²).

635040 divided by its product of nonzero digits (360) gives a square (1764 = 42²).

Adding to 635040 its reverse (40536), we get a palindrome (675576).

The spelling of 635040 in words is "six hundred thirty-five thousand, forty".