26800000 has 96 divisors (see below), whose sum is σ = 67730040. Its totient is φ = 10560000.

The previous prime is 26799989. The next prime is 26800009. The reversal of 26800000 is 862.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26800009) 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, 399967 + ... + 400033.

Almost surely, 2^26800000 is an apocalyptic number.

26800000 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 26800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33865020).

26800000 is an abundant number, since it is smaller than the sum of its proper divisors (40930040).

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

26800000 is an frugal number, since it uses more digits than its factorization.

26800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 26800000 is about 5176.8716422179. The cubic root of 26800000 is about 299.2574227057.

Adding to 26800000 its reverse (862), we get a palindrome (26800862).

The spelling of 26800000 in words is "twenty-six million, eight hundred thousand".