26368224 has 96 divisors (see below), whose sum is σ = 74462976. Its totient is φ = 8140800.

The previous prime is 26368213. The next prime is 26368229. The reversal of 26368224 is 42286362.

It is a Cunningham number, because it is equal to 5135²-1.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26368229) 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, 174549 + ... + 174699.

It is an arithmetic number, because the mean of its divisors is an integer number (775656).

Almost surely, 2^26368224 is an apocalyptic number.

26368224 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 26368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

26368224 is an abundant number, since it is smaller than the sum of its proper divisors (48094752).

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

26368224 is a wasteful number, since it uses less digits than its factorization.

26368224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 26368224 is about 5134.9999026290. Note that the first 4 decimals coincide. The cubic root of 26368224 is about 297.6415972609.

The spelling of 26368224 in words is "twenty-six million, three hundred sixty-eight thousand, two hundred twenty-four".