635268240 has 360 divisors, whose sum is σ = 2351688768. Its totient is φ = 153538560.

The previous prime is 635268239. The next prime is 635268247. The reversal of 635268240 is 42862536.

635268240 is a `hidden beast` number, since 6 + 352 + 68 + 240 = 666.

635268240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 635268195 and 635268204.

It is not an unprimeable number, because it can be changed into a prime (635268247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8947405 + ... + 8947475.

Almost surely, 2^635268240 is an apocalyptic number.

635268240 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 635268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175844384).

635268240 is an abundant number, since it is smaller than the sum of its proper divisors (1716420528).

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

635268240 is a wasteful number, since it uses less digits than its factorization.

635268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 635268240 is about 25204.5281645977. The cubic root of 635268240 is about 859.6448145667.

The spelling of 635268240 in words is "six hundred thirty-five million, two hundred sixty-eight thousand, two hundred forty".