208648000 has 112 divisors (see below), whose sum is σ = 563928768. Its totient is φ = 75840000.

The previous prime is 208647979. The next prime is 208648003. The reversal of 208648000 is 846802.

It is a self number, because there is not a number n which added to its sum of digits gives 208648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208648003) 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, 86815 + ... + 89185.

Almost surely, 2^208648000 is an apocalyptic number.

208648000 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 208648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281964384).

208648000 is an abundant number, since it is smaller than the sum of its proper divisors (355280768).

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

208648000 is a wasteful number, since it uses less digits than its factorization.

208648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 208648000 is about 14444.6529899475. The cubic root of 208648000 is about 593.1138634775.

It can be divided in two parts, 2086 and 48000, that added together give a triangular number (50086 = T₃₁₆).

The spelling of 208648000 in words is "two hundred eight million, six hundred forty-eight thousand".