26225280 has 192 divisors, whose sum is σ = 94278600. Its totient is φ = 6709248.

The previous prime is 26225249. The next prime is 26225293. The reversal of 26225280 is 8252262.

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 7354944 = 4344^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×26225280² = 1375530622156800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166962 + ... + 167118.

Almost surely, 2^26225280 is an apocalyptic number.

26225280 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 26225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139300).

26225280 is an abundant number, since it is smaller than the sum of its proper divisors (68053320).

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

26225280 is a wasteful number, since it uses less digits than its factorization.

26225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26225280 is about 5121.0623897781. The cubic root of 26225280 is about 297.1027770680.

The spelling of 26225280 in words is "twenty-six million, two hundred twenty-five thousand, two hundred eighty".