26066080 has 48 divisors (see below), whose sum is σ = 62229384. Its totient is φ = 10316800.

The previous prime is 26066077. The next prime is 26066087. The reversal of 26066080 is 8066062.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25765776 + 300304 = 5076^2 + 548^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26066087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15354 + ... + 16966.

Almost surely, 2^26066080 is an apocalyptic number.

26066080 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 26066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31114692).

26066080 is an abundant number, since it is smaller than the sum of its proper divisors (36163304).

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

26066080 is a wasteful number, since it uses less digits than its factorization.

26066080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 26066080 is about 5105.4950788342. The cubic root of 26066080 is about 296.5003711082.

The spelling of 26066080 in words is "twenty-six million, sixty-six thousand, eighty".