26746720 has 192 divisors, whose sum is σ = 85349376. Its totient is φ = 7649280.

The previous prime is 26746703. The next prime is 26746721. The reversal of 26746720 is 2764762.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26746721) 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 31 ways as a sum of consecutive naturals, for example, 160077 + ... + 160243.

It is an arithmetic number, because the mean of its divisors is an integer number (444528).

Almost surely, 2^26746720 is an apocalyptic number.

26746720 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 26746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674688).

26746720 is an abundant number, since it is smaller than the sum of its proper divisors (58602656).

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

26746720 is a wasteful number, since it uses less digits than its factorization.

26746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 26746720 is about 5171.7231171052. The cubic root of 26746720 is about 299.0589772663.

The spelling of 26746720 in words is "twenty-six million, seven hundred forty-six thousand, seven hundred twenty".