208160000 has 90 divisors (see below), whose sum is σ = 519616482. Its totient is φ = 83200000.

The previous prime is 208159997. The next prime is 208160041. The reversal of 208160000 is 61802.

It can be written as a sum of positive squares in 5 ways, for example, as 156550144 + 51609856 = 12512^2 + 7184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159350 + ... + 160650.

Almost surely, 2^208160000 is an apocalyptic number.

208160000 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 208160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259808241).

208160000 is an abundant number, since it is smaller than the sum of its proper divisors (311456482).

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

208160000 is an frugal number, since it uses more digits than its factorization.

208160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 208160000 is about 14427.7510374971. The cubic root of 208160000 is about 592.6510976188.

The spelling of 208160000 in words is "two hundred eight million, one hundred sixty thousand".