208416096 has 144 divisors (see below), whose sum is σ = 687907584. Its totient is φ = 58620672.

The previous prime is 208416059. The next prime is 208416097. The reversal of 208416096 is 690614802.

208416096 is a `hidden beast` number, since 2 + 0 + 8 + 41 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 208416096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208416097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134301 + ... + 135843.

It is an arithmetic number, because the mean of its divisors is an integer number (4777136).

Almost surely, 2^208416096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343953792).

208416096 is an abundant number, since it is smaller than the sum of its proper divisors (479491488).

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

208416096 is a wasteful number, since it uses less digits than its factorization.

208416096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 208416096 is about 14436.6234279349. The cubic root of 208416096 is about 592.8940411489.

The spelling of 208416096 in words is "two hundred eight million, four hundred sixteen thousand, ninety-six".