208872384 has 224 divisors, whose sum is σ = 684702720. Its totient is φ = 54878208.

The previous prime is 208872373. The next prime is 208872401. The reversal of 208872384 is 483278802.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 896332 + ... + 896564.

Almost surely, 2^208872384 is an apocalyptic number.

208872384 is a gapful number since it is divisible by the number (24) 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 208872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

208872384 is an abundant number, since it is smaller than the sum of its proper divisors (475830336).

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

208872384 is a wasteful number, since it uses less digits than its factorization.

208872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 208872384 is about 14452.4179291909. The cubic root of 208872384 is about 593.3264025899.

The spelling of 208872384 in words is "two hundred eight million, eight hundred seventy-two thousand, three hundred eighty-four".