26950 has 36 divisors (see below), whose sum is σ = 63612. Its totient is φ = 8400.

The previous prime is 26947. The next prime is 26951. The reversal of 26950 is 5962.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2445 + ... + 2455.

It is an arithmetic number, because the mean of its divisors is an integer number (1767).

2²⁶⁹⁵⁰ is an apocalyptic number.

26950 is an abundant number, since it is smaller than the sum of its proper divisors (36662).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31806).

26950 is a wasteful number, since it uses less digits than its factorization.

26950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 26950 is about 164.1645515938. The cubic root of 26950 is about 29.9814700385.

Multiplying 26950 by its sum of digits (22), we get a square (592900 = 770²).

26950 divided by its sum of digits (22) gives a triangular number (1225 = T₄₉).

The spelling of 26950 in words is "twenty-six thousand, nine hundred fifty".