208880667 has 16 divisors (see below), whose sum is σ = 313694880. Its totient is φ = 137344896.

The previous prime is 208880657. The next prime is 208880671. The reversal of 208880667 is 766088802.

It is not a de Polignac number, because 208880667 - 2⁶ = 208880603 is a prime.

It is a super-2 number, since 2×208880667² = 87262266092729778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208880657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51018 + ... + 54959.

It is an arithmetic number, because the mean of its divisors is an integer number (19605930).

Almost surely, 2^208880667 is an apocalyptic number.

208880667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

208880667 is a deficient number, since it is larger than the sum of its proper divisors (104814213).

208880667 is a wasteful number, since it uses less digits than its factorization.

208880667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106059 (or 106053 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 208880667 is about 14452.7044873961. The cubic root of 208880667 is about 593.3342454292.

The spelling of 208880667 in words is "two hundred eight million, eight hundred eighty thousand, six hundred sixty-seven".