208863072 has 72 divisors (see below), whose sum is σ = 647960040. Its totient is φ = 63290880.

The previous prime is 208863041. The next prime is 208863079. The reversal of 208863072 is 270368802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208863079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29797 + ... + 36132.

It is an arithmetic number, because the mean of its divisors is an integer number (8999445).

Almost surely, 2^208863072 is an apocalyptic number.

208863072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

208863072 is an abundant number, since it is smaller than the sum of its proper divisors (439096968).

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

208863072 is a wasteful number, since it uses less digits than its factorization.

208863072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65956 (or 65945 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 208863072 is about 14452.0957649747. The cubic root of 208863072 is about 593.3175851843.

The spelling of 208863072 in words is "two hundred eight million, eight hundred sixty-three thousand, seventy-two".