208768320 has 224 divisors, whose sum is σ = 748832640. Its totient is φ = 54743040.

The previous prime is 208768283. The next prime is 208768327. The reversal of 208768320 is 23867802.

It is a happy number.

It is a super-2 number, since 2×208768320² = 87168422871244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208768327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630555 + ... + 630885.

Almost surely, 2^208768320 is an apocalyptic number.

208768320 is a gapful number since it is divisible by the number (20) 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 208768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374416320).

208768320 is an abundant number, since it is smaller than the sum of its proper divisors (540064320).

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

208768320 is a wasteful number, since it uses less digits than its factorization.

208768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 208768320 is about 14448.8172526335. The cubic root of 208768320 is about 593.2278509058.

It can be divided in two parts, 2087 and 68320, that added together give a palindrome (70407).

The spelling of 208768320 in words is "two hundred eight million, seven hundred sixty-eight thousand, three hundred twenty".