26966720 has 112 divisors (see below), whose sum is σ = 71981568. Its totient is φ = 9538560.

The previous prime is 26966713. The next prime is 26966749. The reversal of 26966720 is 2766962.

26966720 = T₁₆₆ + T₁₆₇ + ... + T₅₄₉.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165359 + ... + 165521.

Almost surely, 2^26966720 is an apocalyptic number.

26966720 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 26966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35990784).

26966720 is an abundant number, since it is smaller than the sum of its proper divisors (45014848).

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

26966720 is a wasteful number, since it uses less digits than its factorization.

26966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 26966720 is about 5192.9490658007. The cubic root of 26966720 is about 299.8766900632.

The spelling of 26966720 in words is "twenty-six million, nine hundred sixty-six thousand, seven hundred twenty".