638096256 has 192 divisors, whose sum is σ = 2139527520. Its totient is φ = 178753536.

The previous prime is 638096237. The next prime is 638096257. The reversal of 638096256 is 652690836.

It is a happy number.

638096256 is a `hidden beast` number, since 638 + 0 + 9 + 6 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638096257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426646 + ... + 428138.

Almost surely, 2^638096256 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 638096256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069763760).

638096256 is an abundant number, since it is smaller than the sum of its proper divisors (1501431264).

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

638096256 is a wasteful number, since it uses less digits than its factorization.

638096256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 638096256 is about 25260.5672145342. The cubic root of 638096256 is about 860.9185498430.

The spelling of 638096256 in words is "six hundred thirty-eight million, ninety-six thousand, two hundred fifty-six".