26250 has 40 divisors (see below), whose sum is σ = 74976. Its totient is φ = 6000.

The previous prime is 26249. The next prime is 26251. The reversal of 26250 is 5262.

It is an interprime number because it is at equal distance from previous prime (26249) and next prime (26251).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (26251) 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 19 ways as a sum of consecutive naturals, for example, 3747 + ... + 3753.

2²⁶²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37488).

26250 is an abundant number, since it is smaller than the sum of its proper divisors (48726).

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

26250 is an equidigital number, since it uses as much as digits as its factorization.

26250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 26250 is about 162.0185174602. The cubic root of 26250 is about 29.7196097638.

It can be divided in two parts, 26 and 250, that added together give a triangular number (276 = T₂₃).

The spelling of 26250 in words is "twenty-six thousand, two hundred fifty".