26909120 has 112 divisors (see below), whose sum is σ = 75273408. Its totient is φ = 8970240.

The previous prime is 26909119. The next prime is 26909123. The reversal of 26909120 is 2190962.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26909123) 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 15 ways as a sum of consecutive naturals, for example, 91694 + ... + 91986.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 2^26909120 is an apocalyptic number.

26909120 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 26909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37636704).

26909120 is an abundant number, since it is smaller than the sum of its proper divisors (48364288).

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

26909120 is a wasteful number, since it uses less digits than its factorization.

26909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 26909120 is about 5187.4001195204. The cubic root of 26909120 is about 299.6630290511.

The spelling of 26909120 in words is "twenty-six million, nine hundred nine thousand, one hundred twenty".