26680961 has 2 divisors, whose sum is σ = 26680962. Its totient is φ = 26680960.

The previous prime is 26680949. The next prime is 26680963. The reversal of 26680961 is 16908662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23280625 + 3400336 = 4825^2 + 1844^2 .

It is a cyclic number.

It is not a de Polignac number, because 26680961 - 2¹⁴ = 26664577 is a prime.

It is a super-4 number, since 4×26680961⁴ (a number of 31 digits) contains 4444 as substring.

Together with 26680963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (26680963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13340480 + 13340481.

It is an arithmetic number, because the mean of its divisors is an integer number (13340481).

Almost surely, 2^26680961 is an apocalyptic number.

It is an amenable number.

26680961 is a deficient number, since it is larger than the sum of its proper divisors (1).

26680961 is an equidigital number, since it uses as much as digits as its factorization.

26680961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 26680961 is about 5165.3616523918. The cubic root of 26680961 is about 298.8136891461.

The spelling of 26680961 in words is "twenty-six million, six hundred eighty thousand, nine hundred sixty-one".