26742 has 8 divisors (see below), whose sum is σ = 53496. Its totient is φ = 8912.

The previous prime is 26737. The next prime is 26759. The reversal of 26742 is 24762.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

26742 is an admirable number.

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 26742.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2223 + ... + 2234.

It is an arithmetic number, because the mean of its divisors is an integer number (6687).

2²⁶⁷⁴² is an apocalyptic number.

26742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (26748).

26742 is a wasteful number, since it uses less digits than its factorization.

26742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462.

The product of its digits is 672, while the sum is 21.

The square root of 26742 is about 163.5298137955. The cubic root of 26742 is about 29.9041384562.

The spelling of 26742 in words is "twenty-six thousand, seven hundred forty-two".