26680940 has 96 divisors (see below), whose sum is σ = 69431040. Its totient is φ = 8467200.

The previous prime is 26680919. The next prime is 26680949. The reversal of 26680940 is 4908662.

It is a self number, because there is not a number n which added to its sum of digits gives 26680940.

It is not an unprimeable number, because it can be changed into a prime (26680949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54095 + ... + 54585.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^26680940 is an apocalyptic number.

26680940 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 26680940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34715520).

26680940 is an abundant number, since it is smaller than the sum of its proper divisors (42750100).

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

26680940 is a wasteful number, since it uses less digits than its factorization.

26680940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 26680940 is about 5165.3596196199. The cubic root of 26680940 is about 298.8136107495.

The spelling of 26680940 in words is "twenty-six million, six hundred eighty thousand, nine hundred forty".