26681680 has 40 divisors (see below), whose sum is σ = 62386632. Its totient is φ = 10612224.

The previous prime is 26681663. The next prime is 26681689. The reversal of 26681680 is 8618662.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 18593344 = 2844^2 + 4312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26681689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14914 + ... + 16606.

Almost surely, 2^26681680 is an apocalyptic number.

26681680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26681680 is an abundant number, since it is smaller than the sum of its proper divisors (35704952).

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

26681680 is a wasteful number, since it uses less digits than its factorization.

26681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 26681680 is about 5165.4312501475. The cubic root of 26681680 is about 298.8163732712.

The spelling of 26681680 in words is "twenty-six million, six hundred eighty-one thousand, six hundred eighty".