26800640 has 120 divisors (see below), whose sum is σ = 70157340. Its totient is φ = 9805824.

The previous prime is 26800639. The next prime is 26800649. The reversal of 26800640 is 4600862.

It can be written as a sum of positive squares in 2 ways, for example, as 26708224 + 92416 = 5168^2 + 304^2 .

It is not an unprimeable number, because it can be changed into a prime (26800649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 924146 + ... + 924174.

Almost surely, 2^26800640 is an apocalyptic number.

26800640 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 26800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078670).

26800640 is an abundant number, since it is smaller than the sum of its proper divisors (43356700).

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

26800640 is an equidigital number, since it uses as much as digits as its factorization.

26800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 26800640 is about 5176.9334552416. The cubic root of 26800640 is about 299.2598048354.

The spelling of 26800640 in words is "twenty-six million, eight hundred thousand, six hundred forty".