208115000 has 80 divisors (see below), whose sum is σ = 493435800. Its totient is φ = 82256000.

The previous prime is 208114967. The next prime is 208115009. The reversal of 208115000 is 511802.

208115000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 208115000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208115009) 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, 534806 + ... + 535194.

Almost surely, 2^208115000 is an apocalyptic number.

208115000 is a gapful number since it is divisible by the number (20) 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 208115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246717900).

208115000 is an abundant number, since it is smaller than the sum of its proper divisors (285320800).

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

208115000 is a wasteful number, since it uses less digits than its factorization.

208115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 208115000 is about 14426.1914585936. The cubic root of 208115000 is about 592.6083881303.

Adding to 208115000 its reverse (511802), we get a palindrome (208626802).

The spelling of 208115000 in words is "two hundred eight million, one hundred fifteen thousand".