26138580 has 192 divisors, whose sum is σ = 86704128. Its totient is φ = 5829120.

The previous prime is 26138573. The next prime is 26138587. The reversal of 26138580 is 8583162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26138573) and next prime (26138587).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26138587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556117 + ... + 556163.

It is an arithmetic number, because the mean of its divisors is an integer number (451584).

Almost surely, 2^26138580 is an apocalyptic number.

26138580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26138580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

26138580 is an abundant number, since it is smaller than the sum of its proper divisors (60565548).

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

26138580 is a wasteful number, since it uses less digits than its factorization.

26138580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 26138580 is about 5112.5903415001. The cubic root of 26138580 is about 296.7750112764.

The spelling of 26138580 in words is "twenty-six million, one hundred thirty-eight thousand, five hundred eighty".