208040160 has 96 divisors (see below), whose sum is σ = 659594880. Its totient is φ = 55116288.

The previous prime is 208040123. The next prime is 208040167. The reversal of 208040160 is 61040802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208040167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76911 + ... + 79569.

It is an arithmetic number, because the mean of its divisors is an integer number (6870780).

Almost surely, 2^208040160 is an apocalyptic number.

208040160 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 208040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329797440).

208040160 is an abundant number, since it is smaller than the sum of its proper divisors (451554720).

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

208040160 is a wasteful number, since it uses less digits than its factorization.

208040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 208040160 is about 14423.5973321498. The cubic root of 208040160 is about 592.5373438693.

Adding to 208040160 its reverse (61040802), we get a palindrome (269080962).

The spelling of 208040160 in words is "two hundred eight million, forty thousand, one hundred sixty".