26880000 has 240 divisors, whose sum is σ = 102342240. Its totient is φ = 6144000.

The previous prime is 26879989. The next prime is 26880001. The reversal of 26880000 is 8862.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (26880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839997 + ... + 3840003.

It is an arithmetic number, because the mean of its divisors is an integer number (426426).

Almost surely, 2^26880000 is an apocalyptic number.

26880000 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 26880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

26880000 is an abundant number, since it is smaller than the sum of its proper divisors (75462240).

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

26880000 is an frugal number, since it uses more digits than its factorization.

26880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 26880000 is about 5184.5925587263. The cubic root of 26880000 is about 299.5548954887.

Adding to 26880000 its reverse (8862), we get a palindrome (26888862).

The spelling of 26880000 in words is "twenty-six million, eight hundred eighty thousand".