208816160 has 96 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 69645312.

The previous prime is 208816147. The next prime is 208816189. The reversal of 208816160 is 61618802.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 38921 + ... + 43959.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^208816160 is an apocalyptic number.

208816160 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 208816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

208816160 is an abundant number, since it is smaller than the sum of its proper divisors (370340320).

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

208816160 is a wasteful number, since it uses less digits than its factorization.

208816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 208816160 is about 14450.4726566296. The cubic root of 208816160 is about 593.2731608661.

The spelling of 208816160 in words is "two hundred eight million, eight hundred sixteen thousand, one hundred sixty".