26580740 has 48 divisors (see below), whose sum is σ = 57380400. Its totient is φ = 10340352.

The previous prime is 26580727. The next prime is 26580769. The reversal of 26580740 is 4708562.

It can be written as a sum of positive squares in 8 ways, for example, as 222784 + 26357956 = 472^2 + 5134^2 .

It is a super-3 number, since 3×26580740³ (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26580697 and 26580706.

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 15 ways as a sum of consecutive naturals, for example, 193952 + ... + 194088.

It is an arithmetic number, because the mean of its divisors is an integer number (1195425).

Almost surely, 2^26580740 is an apocalyptic number.

26580740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26580740 is an abundant number, since it is smaller than the sum of its proper divisors (30799660).

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

26580740 is a wasteful number, since it uses less digits than its factorization.

26580740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 26580740 is about 5155.6512682686. The cubic root of 26580740 is about 298.4390776759.

The spelling of 26580740 in words is "twenty-six million, five hundred eighty thousand, seven hundred forty".