26641680 has 80 divisors (see below), whose sum is σ = 88952640. Its totient is φ = 6557184.

The previous prime is 26641663. The next prime is 26641687. The reversal of 26641680 is 8614662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×26641680² = 1419558226444800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26641687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (1111908).

Almost surely, 2^26641680 is an apocalyptic number.

26641680 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 26641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44476320).

26641680 is an abundant number, since it is smaller than the sum of its proper divisors (62310960).

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

26641680 is a wasteful number, since it uses less digits than its factorization.

26641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26641680 is about 5161.5579043541. The cubic root of 26641680 is about 298.6669744718. Note that the first 3 decimals are identical.

The spelling of 26641680 in words is "twenty-six million, six hundred forty-one thousand, six hundred eighty".