208264896 has 252 divisors, whose sum is σ = 713707488. Its totient is φ = 57867264.

The previous prime is 208264891. The next prime is 208264957. The reversal of 208264896 is 698462802.

208264896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (208264891) 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, 1326450 + ... + 1326606.

Almost surely, 2^208264896 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 208264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356853744).

208264896 is an abundant number, since it is smaller than the sum of its proper divisors (505442592).

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

208264896 is a wasteful number, since it uses less digits than its factorization.

208264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 208264896 is about 14431.3857962429. The cubic root of 208264896 is about 592.7506304944.

The spelling of 208264896 in words is "two hundred eight million, two hundred sixty-four thousand, eight hundred ninety-six".