26590842 has 80 divisors (see below), whose sum is σ = 64294560. Its totient is φ = 8188128.

The previous prime is 26590841. The next prime is 26590843. The reversal of 26590842 is 24809562.

It is a happy number.

26590842 is a `hidden beast` number, since 26 + 590 + 8 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (26590841) and next prime (26590843).

It is a junction number, because it is equal to n+sod(n) for n = 26590797 and 26590806.

It is not an unprimeable number, because it can be changed into a prime (26590841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163053 + ... + 163215.

It is an arithmetic number, because the mean of its divisors is an integer number (803682).

Almost surely, 2^26590842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26590842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32147280).

26590842 is an abundant number, since it is smaller than the sum of its proper divisors (37703718).

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

26590842 is a wasteful number, since it uses less digits than its factorization.

26590842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 26590842 is about 5156.6308768420. The cubic root of 26590842 is about 298.4768801062.

The spelling of 26590842 in words is "twenty-six million, five hundred ninety thousand, eight hundred forty-two".