26800224 has 96 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 7910400.

The previous prime is 26800159. The next prime is 26800259. The reversal of 26800224 is 42200862.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26800194 and 26800203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42987 + ... + 43605.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^26800224 is an apocalyptic number.

26800224 is a gapful number since it is divisible by the number (24) 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 26800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

26800224 is an abundant number, since it is smaller than the sum of its proper divisors (51944736).

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

26800224 is a wasteful number, since it uses less digits than its factorization.

26800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 26800224 is about 5176.8932768602. The cubic root of 26800224 is about 299.2582564554.

The spelling of 26800224 in words is "twenty-six million, eight hundred thousand, two hundred twenty-four".