26138880 has 108 divisors (see below), whose sum is σ = 90477660. Its totient is φ = 6967296.

The previous prime is 26138873. The next prime is 26138887. The reversal of 26138880 is 8883162.

It is an interprime number because it is at equal distance from previous prime (26138873) and next prime (26138887).

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 21678336 = 2112^2 + 4656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26138887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10386 + ... + 12654.

Almost surely, 2^26138880 is an apocalyptic number.

26138880 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 26138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45238830).

26138880 is an abundant number, since it is smaller than the sum of its proper divisors (64338780).

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

26138880 is a wasteful number, since it uses less digits than its factorization.

26138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 26138880 is about 5112.6196807508. The cubic root of 26138880 is about 296.7761466628.

The spelling of 26138880 in words is "twenty-six million, one hundred thirty-eight thousand, eight hundred eighty".