26566720 has 56 divisors (see below), whose sum is σ = 64346328. Its totient is φ = 10444800.

The previous prime is 26566717. The next prime is 26566753. The reversal of 26566720 is 2766562.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 25887744 = 824^2 + 5088^2 .

It is a super-2 number, since 2×26566720² = 1411581223116800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18840 + ... + 20200.

Almost surely, 2^26566720 is an apocalyptic number.

26566720 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 26566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32173164).

26566720 is an abundant number, since it is smaller than the sum of its proper divisors (37779608).

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

26566720 is a wasteful number, since it uses less digits than its factorization.

26566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 26566720 is about 5154.2914158980. The cubic root of 26566720 is about 298.3865979265.

The spelling of 26566720 in words is "twenty-six million, five hundred sixty-six thousand, seven hundred twenty".