538106000 has 80 divisors (see below), whose sum is σ = 1313206128. Its totient is φ = 213248000.

The previous prime is 538105921. The next prime is 538106021. The reversal of 538106000 is 601835.

It can be written as a sum of positive squares in 8 ways, for example, as 502297744 + 35808256 = 22412^2 + 5984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224810 + ... + 227190.

Almost surely, 2^538106000 is an apocalyptic number.

538106000 is a gapful number since it is divisible by the number (50) 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 538106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656603064).

538106000 is an abundant number, since it is smaller than the sum of its proper divisors (775100128).

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

538106000 is a wasteful number, since it uses less digits than its factorization.

538106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 538106000 is about 23197.1118891986. Note that the first 3 decimals coincide. The cubic root of 538106000 is about 813.3721128752.

Adding to 538106000 its reverse (601835), we get a palindrome (538707835).

The spelling of 538106000 in words is "five hundred thirty-eight million, one hundred six thousand".