26800368 has 120 divisors (see below), whose sum is σ = 82744704. Its totient is φ = 7320960.

The previous prime is 26800339. The next prime is 26800369. The reversal of 26800368 is 86300862.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26800369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322855 + ... + 322937.

Almost surely, 2^26800368 is an apocalyptic number.

26800368 is a gapful number since it is divisible by the number (28) 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 26800368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41372352).

26800368 is an abundant number, since it is smaller than the sum of its proper divisors (55944336).

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

26800368 is a wasteful number, since it uses less digits than its factorization.

26800368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26800368 is about 5176.9071847967. The cubic root of 26800368 is about 299.2587924349.

The spelling of 26800368 in words is "twenty-six million, eight hundred thousand, three hundred sixty-eight".