26848080 has 180 divisors, whose sum is σ = 105023412. Its totient is φ = 6128640.

The previous prime is 26848079. The next prime is 26848091. The reversal of 26848080 is 8084862.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 23736384 = 1764^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34900 + ... + 35660.

Almost surely, 2^26848080 is an apocalyptic number.

26848080 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 26848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511706).

26848080 is an abundant number, since it is smaller than the sum of its proper divisors (78175332).

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

26848080 is a wasteful number, since it uses less digits than its factorization.

26848080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 26848080 is about 5181.5132924658. The cubic root of 26848080 is about 299.4362747095.

The spelling of 26848080 in words is "twenty-six million, eight hundred forty-eight thousand, eighty".