1000538208 has 72 divisors (see below), whose sum is σ = 2856822696. Its totient is φ = 332160000.

The previous prime is 1000538171. The next prime is 1000538243. The reversal of 1000538208 is 8028350001.

It is a happy number.

1000538208 is a `hidden beast` number, since 100 + 0 + 538 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65368 + ... + 79208.

It is an arithmetic number, because the mean of its divisors is an integer number (39678093).

Almost surely, 2^1000538208 is an apocalyptic number.

1000538208 is a gapful number since it is divisible by the number (18) 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 1000538208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428411348).

1000538208 is an abundant number, since it is smaller than the sum of its proper divisors (1856284488).

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

1000538208 is a wasteful number, since it uses less digits than its factorization.

1000538208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14108 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1000538208 is about 31631.2852726537. The cubic root of 1000538208 is about 1000.1793704910.

Adding to 1000538208 its reverse (8028350001), we get a palindrome (9028888209).

The spelling of 1000538208 in words is "one billion, five hundred thirty-eight thousand, two hundred eight".