208416768 has 104 divisors (see below), whose sum is σ = 635359488. Its totient is φ = 59523072.

The previous prime is 208416749. The next prime is 208416797. The reversal of 208416768 is 867614802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84805 + ... + 87227.

Almost surely, 2^208416768 is an apocalyptic number.

208416768 is a gapful number since it is divisible by the number (28) 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 208416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317679744).

208416768 is an abundant number, since it is smaller than the sum of its proper divisors (426942720).

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

208416768 is an equidigital number, since it uses as much as digits as its factorization.

208416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 208416768 is about 14436.6467020565. The cubic root of 208416768 is about 592.8946783747.

The spelling of 208416768 in words is "two hundred eight million, four hundred sixteen thousand, seven hundred sixty-eight".