268008220 has 24 divisors (see below), whose sum is σ = 563328864. Its totient is φ = 107105856.

The previous prime is 268008217. The next prime is 268008229. The reversal of 268008220 is 22800862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268008229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18982 + ... + 29938.

It is an arithmetic number, because the mean of its divisors is an integer number (23472036).

Almost surely, 2^268008220 is an apocalyptic number.

268008220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268008220 is an abundant number, since it is smaller than the sum of its proper divisors (295320644).

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

268008220 is a wasteful number, since it uses less digits than its factorization.

268008220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12189 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 268008220 is about 16370.9566000280. The cubic root of 268008220 is about 644.7371643077.

The spelling of 268008220 in words is "two hundred sixty-eight million, eight thousand, two hundred twenty".