638055144 has 160 divisors (see below), whose sum is σ = 1926397440. Its totient is φ = 196732800.

The previous prime is 638055139. The next prime is 638055241. The reversal of 638055144 is 441550836.

It is a happy number.

638055144 is a `hidden beast` number, since 63 + 8 + 0 + 551 + 44 = 666.

638055144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×638055144² = 814228733569721472, which contains 22 as substring.

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 = 638055099 and 638055108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 461334 + ... + 462714.

It is an arithmetic number, because the mean of its divisors is an integer number (12039984).

Almost surely, 2^638055144 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 638055144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963198720).

638055144 is an abundant number, since it is smaller than the sum of its proper divisors (1288342296).

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

638055144 is a wasteful number, since it uses less digits than its factorization.

638055144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 638055144 is about 25259.7534429772. The cubic root of 638055144 is about 860.9000600289.

The spelling of 638055144 in words is "six hundred thirty-eight million, fifty-five thousand, one hundred forty-four".