208807872 has 448 divisors, whose sum is σ = 778337280. Its totient is φ = 47775744.

The previous prime is 208807867. The next prime is 208807901. The reversal of 208807872 is 278708802.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5643438 + ... + 5643474.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^208807872 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 208807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

208807872 is an abundant number, since it is smaller than the sum of its proper divisors (569529408).

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

208807872 is a wasteful number, since it uses less digits than its factorization.

208807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 208807872 is about 14450.1858811574. The cubic root of 208807872 is about 593.2653116763.

The spelling of 208807872 in words is "two hundred eight million, eight hundred seven thousand, eight hundred seventy-two".