208516992 has 64 divisors (see below), whose sum is σ = 556968960. Its totient is φ = 69117440.

The previous prime is 208516991. The next prime is 208516993. The reversal of 208516992 is 299615802.

208516992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208516991) and next prime (208516993).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208516991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71923 + ... + 74765.

It is an arithmetic number, because the mean of its divisors is an integer number (8702640).

Almost surely, 2^208516992 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 208516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278484480).

208516992 is an abundant number, since it is smaller than the sum of its proper divisors (348451968).

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

208516992 is a wasteful number, since it uses less digits than its factorization.

208516992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 208516992 is about 14440.1174510459. The cubic root of 208516992 is about 592.9897007255.

The spelling of 208516992 in words is "two hundred eight million, five hundred sixteen thousand, nine hundred ninety-two".