26308880 has 80 divisors (see below), whose sum is σ = 67589424. Its totient is φ = 9461760.

The previous prime is 26308879. The next prime is 26308889. The reversal of 26308880 is 8880362.

It can be written as a sum of positive squares in 8 ways, for example, as 14992384 + 11316496 = 3872^2 + 3364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 26308880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26308889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42332 + ... + 42948.

Almost surely, 2^26308880 is an apocalyptic number.

26308880 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 26308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33794712).

26308880 is an abundant number, since it is smaller than the sum of its proper divisors (41280544).

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

26308880 is a wasteful number, since it uses less digits than its factorization.

26308880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 26308880 is about 5129.2182640243. The cubic root of 26308880 is about 297.4181400367.

The spelling of 26308880 in words is "twenty-six million, three hundred eight thousand, eight hundred eighty".