1006368138 has 40 divisors (see below), whose sum is σ = 2256830532. Its totient is φ = 335185344.

The previous prime is 1006368131. The next prime is 1006368149. The reversal of 1006368138 is 8318636001.

1006368138 is a `hidden beast` number, since 1 + 0 + 0 + 636 + 8 + 13 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1005333849 + 1034289 = 31707^2 + 1017^2 .

It is not an unprimeable number, because it can be changed into a prime (1006368131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 361006 + ... + 363782.

Almost surely, 2^1006368138 is an apocalyptic number.

1006368138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1006368138 is an abundant number, since it is smaller than the sum of its proper divisors (1250462394).

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

1006368138 is a wasteful number, since it uses less digits than its factorization.

1006368138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1006368138 is about 31723.3059122154. The cubic root of 1006368138 is about 1002.1182226315.

The spelling of 1006368138 in words is "one billion, six million, three hundred sixty-eight thousand, one hundred thirty-eight".