208896120 has 96 divisors (see below), whose sum is σ = 708458400. Its totient is φ = 53281536.

The previous prime is 208896109. The next prime is 208896133. The reversal of 208896120 is 21698802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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, 4335 + ... + 20894.

It is an arithmetic number, because the mean of its divisors is an integer number (7379775).

Almost surely, 2^208896120 is an apocalyptic number.

208896120 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 208896120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354229200).

208896120 is an abundant number, since it is smaller than the sum of its proper divisors (499562280).

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

208896120 is a wasteful number, since it uses less digits than its factorization.

208896120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25269 (or 25262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 208896120 is about 14453.2390833335. The cubic root of 208896120 is about 593.3488766987.

The spelling of 208896120 in words is "two hundred eight million, eight hundred ninety-six thousand, one hundred twenty".