26681000 has 32 divisors (see below), whose sum is σ = 62435880. Its totient is φ = 10672000.

The previous prime is 26680993. The next prime is 26681003. The reversal of 26681000 is 18662.

It can be written as a sum of positive squares in 4 ways, for example, as 894916 + 25786084 = 946^2 + 5078^2 .

It is a super-2 number, since 2×26681000² = 1423751522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26681003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12341 + ... + 14340.

Almost surely, 2^26681000 is an apocalyptic number.

26681000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26681000 is an abundant number, since it is smaller than the sum of its proper divisors (35754880).

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

26681000 is a wasteful number, since it uses less digits than its factorization.

26681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26702 (or 26688 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 26681000 is about 5165.3654275375. The cubic root of 26681000 is about 298.8138347396.

Adding to 26681000 its reverse (18662), we get a palindrome (26699662).

The spelling of 26681000 in words is "twenty-six million, six hundred eighty-one thousand".