26900 has 18 divisors (see below), whose sum is σ = 58590. Its totient is φ = 10720.

The previous prime is 26893. The next prime is 26903. The reversal of 26900 is 962.

26900 = 20² + 21² + ... + 44².

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 26896 = 2^2 + 164^2 .

It is a super-2 number, since 2×26900² = 1447220000, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26903) by changing a digit.

26900 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 5 ways as a sum of consecutive naturals, for example, 35 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2²⁶⁹⁰⁰ is an apocalyptic number.

26900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26900 is an abundant number, since it is smaller than the sum of its proper divisors (31690).

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

26900 is a wasteful number, since it uses less digits than its factorization.

26900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 26900 is about 164.0121946686. The cubic root of 26900 is about 29.9629171439.

The spelling of 26900 in words is "twenty-six thousand, nine hundred".