26676 has 48 divisors (see below), whose sum is σ = 78400. Its totient is φ = 7776.

The previous prime is 26669. The next prime is 26681. The reversal of 26676 is 67662.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26676.

It is an unprimeable number.

26676 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395 + ... + 1413.

2²⁶⁶⁷⁶ is an apocalyptic number.

26676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39200).

26676 is an abundant number, since it is smaller than the sum of its proper divisors (51724).

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

26676 is a wasteful number, since it uses less digits than its factorization.

26676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 37 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 26676 is about 163.3278910658. The cubic root of 26676 is about 29.8795167742.

It can be divided in two parts, 26 and 676, that multiplied together give a cube (17576 = 26³).

The spelling of 26676 in words is "twenty-six thousand, six hundred seventy-six".