638272206 has 192 divisors, whose sum is σ = 1769564160. Its totient is φ = 163296000.

The previous prime is 638272199. The next prime is 638272231. The reversal of 638272206 is 602272836.

638272206 is a `hidden beast` number, since 6 + 382 + 72 + 206 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1515876 + ... + 1516296.

It is an arithmetic number, because the mean of its divisors is an integer number (9216480).

Almost surely, 2^638272206 is an apocalyptic number.

638272206 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 638272206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884782080).

638272206 is an abundant number, since it is smaller than the sum of its proper divisors (1131291954).

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

638272206 is a wasteful number, since it uses less digits than its factorization.

638272206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 638272206 is about 25264.0496753786. The cubic root of 638272206 is about 860.9976730665.

The spelling of 638272206 in words is "six hundred thirty-eight million, two hundred seventy-two thousand, two hundred six".