26649 has 20 divisors (see below), whose sum is σ = 46464. Its totient is φ = 14904.

The previous prime is 26647. The next prime is 26669. The reversal of 26649 is 94662.

It is not a de Polignac number, because 26649 - 2¹ = 26647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

26649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (26641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 544 + ... + 590.

2²⁶⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

26649 is a deficient number, since it is larger than the sum of its proper divisors (19815).

26649 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (26650) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (66).

26649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 26649 is about 163.2452143250. The cubic root of 26649 is about 29.8694325625.

Adding to 26649 its product of digits (2592), we get a square (29241 = 171²).

The spelling of 26649 in words is "twenty-six thousand, six hundred forty-nine".