26688168 has 48 divisors (see below), whose sum is σ = 77843220. Its totient is φ = 8211456.

The previous prime is 26688157. The next prime is 26688173. The reversal of 26688168 is 86188662.

It can be written as a sum of positive squares in 2 ways, for example, as 26440164 + 248004 = 5142^2 + 498^2 .

It is a super-2 number, since 2×26688168² = 1424516622392448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13321 + ... + 15192.

Almost surely, 2^26688168 is an apocalyptic number.

It is an amenable number.

26688168 is an abundant number, since it is smaller than the sum of its proper divisors (51155052).

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

26688168 is a wasteful number, since it uses less digits than its factorization.

26688168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28538 (or 28531 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 26688168 is about 5166.0592331099. The cubic root of 26688168 is about 298.8405916801.

The spelling of 26688168 in words is "twenty-six million, six hundred eighty-eight thousand, one hundred sixty-eight".