26676640 has 48 divisors (see below), whose sum is σ = 63535752. Its totient is φ = 10584064.

The previous prime is 26676631. The next prime is 26676659. The reversal of 26676640 is 4667662.

It can be written as a sum of positive squares in 4 ways, for example, as 20466576 + 6210064 = 4524^2 + 2492^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26676640.

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 7 ways as a sum of consecutive naturals, for example, 21312 + ... + 22528.

Almost surely, 2^26676640 is an apocalyptic number.

26676640 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 26676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767876).

26676640 is an abundant number, since it is smaller than the sum of its proper divisors (36859112).

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

26676640 is a wasteful number, since it uses less digits than its factorization.

26676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 26676640 is about 5164.9433685182. The cubic root of 26676640 is about 298.7975572476.

The spelling of 26676640 in words is "twenty-six million, six hundred seventy-six thousand, six hundred forty".