208967148 has 108 divisors (see below), whose sum is σ = 592180680. Its totient is φ = 63696672.

The previous prime is 208967147. The next prime is 208967189. The reversal of 208967148 is 841769802.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (208967147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1952911 + ... + 1953017.

Almost surely, 2^208967148 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 208967148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296090340).

208967148 is an abundant number, since it is smaller than the sum of its proper divisors (383213532).

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

208967148 is a wasteful number, since it uses less digits than its factorization.

208967148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 208967148 is about 14455.6960399698. The cubic root of 208967148 is about 593.4161184268.

The spelling of 208967148 in words is "two hundred eight million, nine hundred sixty-seven thousand, one hundred forty-eight".