208234080 has 144 divisors (see below), whose sum is σ = 728136864. Its totient is φ = 54159360.

The previous prime is 208234073. The next prime is 208234097. The reversal of 208234080 is 80432802.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×208234080² = 86722864146892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57277 + ... + 60803.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506).

Almost surely, 2^208234080 is an apocalyptic number.

208234080 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 208234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364068432).

208234080 is an abundant number, since it is smaller than the sum of its proper divisors (519902784).

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

208234080 is a wasteful number, since it uses less digits than its factorization.

208234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 208234080 is about 14430.3180838123. The cubic root of 208234080 is about 592.7213935229.

Adding to 208234080 its reverse (80432802), we get a palindrome (288666882).

The spelling of 208234080 in words is "two hundred eight million, two hundred thirty-four thousand, eighty".