208053120 has 128 divisors (see below), whose sum is σ = 723530880. Its totient is φ = 50432000.

The previous prime is 208053119. The next prime is 208053133. The reversal of 208053120 is 21350802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×208053120² = 86572201483468800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 16195 + ... + 26045.

It is an arithmetic number, because the mean of its divisors is an integer number (5652585).

Almost surely, 2^208053120 is an apocalyptic number.

208053120 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 208053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361765440).

208053120 is an abundant number, since it is smaller than the sum of its proper divisors (515477760).

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

208053120 is a wasteful number, since it uses less digits than its factorization.

208053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 208053120 is about 14424.0465889431. The cubic root of 208053120 is about 592.5496477830.

The spelling of 208053120 in words is "two hundred eight million, fifty-three thousand, one hundred twenty".