208147968 has 240 divisors, whose sum is σ = 714954240. Its totient is φ = 59222016.

The previous prime is 208147967. The next prime is 208147969. The reversal of 208147968 is 869741802.

It is an interprime number because it is at equal distance from previous prime (208147967) and next prime (208147969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208147963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870793 + ... + 871031.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2^208147968 is an apocalyptic number.

208147968 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 208147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

208147968 is an abundant number, since it is smaller than the sum of its proper divisors (506806272).

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

208147968 is an frugal number, since it uses more digits than its factorization.

208147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

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

The square root of 208147968 is about 14427.3340572678. The cubic root of 208147968 is about 592.6396786536.

It can be divided in two parts, 20814 and 7968, that added together give a palindrome (28782).

The spelling of 208147968 in words is "two hundred eight million, one hundred forty-seven thousand, nine hundred sixty-eight".