26678961 has 24 divisors (see below), whose sum is σ = 39984360. Its totient is φ = 17127936.

The previous prime is 26678959. The next prime is 26678989. The reversal of 26678961 is 16987662.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 26471025 = 456^2 + 5145^2 .

It is not a de Polignac number, because 26678961 - 2¹ = 26678959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26678921) 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 23 ways as a sum of consecutive naturals, for example, 37275 + ... + 37983.

It is an arithmetic number, because the mean of its divisors is an integer number (1666015).

Almost surely, 2^26678961 is an apocalyptic number.

It is an amenable number.

26678961 is a deficient number, since it is larger than the sum of its proper divisors (13305399).

26678961 is a wasteful number, since it uses less digits than its factorization.

26678961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 26678961 is about 5165.1680514771. The cubic root of 26678961 is about 298.8062226195.

It can be divided in two parts, 2667 and 8961, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 26678961 in words is "twenty-six million, six hundred seventy-eight thousand, nine hundred sixty-one".