26045200 has 120 divisors (see below), whose sum is σ = 69192000. Its totient is φ = 9377280.

The previous prime is 26045197. The next prime is 26045213. The reversal of 26045200 is 254062.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174726 + ... + 174874.

It is an arithmetic number, because the mean of its divisors is an integer number (576600).

Almost surely, 2^26045200 is an apocalyptic number.

26045200 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 26045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34596000).

26045200 is an abundant number, since it is smaller than the sum of its proper divisors (43146800).

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

26045200 is a wasteful number, since it uses less digits than its factorization.

26045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 26045200 is about 5103.4498136065. The cubic root of 26045200 is about 296.4211803036.

Adding to 26045200 its reverse (254062), we get a palindrome (26299262).

The spelling of 26045200 in words is "twenty-six million, forty-five thousand, two hundred".