26761680 has 240 divisors, whose sum is σ = 102136320. Its totient is φ = 6220800.

The previous prime is 26761639. The next prime is 26761687. The reversal of 26761680 is 8616762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26761687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245466 + ... + 245574.

It is an arithmetic number, because the mean of its divisors is an integer number (425568).

Almost surely, 2^26761680 is an apocalyptic number.

26761680 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 26761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068160).

26761680 is an abundant number, since it is smaller than the sum of its proper divisors (75374640).

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

26761680 is a wasteful number, since it uses less digits than its factorization.

26761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26761680 is about 5173.1692413839. The cubic root of 26761680 is about 299.1147235215.

It can be divided in two parts, 2676 and 1680, that added together give a square (4356 = 66²).

The spelling of 26761680 in words is "twenty-six million, seven hundred sixty-one thousand, six hundred eighty".