26788680 has 48 divisors (see below), whose sum is σ = 87064380. Its totient is φ = 7143552.

The previous prime is 26788679. The next prime is 26788711. The reversal of 26788680 is 8688762.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 101124 = 5166^2 + 318^2 .

It is a super-2 number, since 2×26788680² = 1435266752284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36847 + ... + 37566.

Almost surely, 2^26788680 is an apocalyptic number.

26788680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26788680 is an abundant number, since it is smaller than the sum of its proper divisors (60275700).

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

26788680 is a wasteful number, since it uses less digits than its factorization.

26788680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74430 (or 74423 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 26788680 is about 5175.7782023576. The cubic root of 26788680 is about 299.2152825179.

The spelling of 26788680 in words is "twenty-six million, seven hundred eighty-eight thousand, six hundred eighty".