26449120 has 48 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 10376704.

The previous prime is 26449099. The next prime is 26449123. The reversal of 26449120 is 2194462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26449123) 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 7 ways as a sum of consecutive naturals, for example, 6921 + ... + 10039.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^26449120 is an apocalyptic number.

26449120 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 26449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

26449120 is an abundant number, since it is smaller than the sum of its proper divisors (37236320).

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

26449120 is a wasteful number, since it uses less digits than its factorization.

26449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 26449120 is about 5142.8707936327. The cubic root of 26449120 is about 297.9456682174.

It can be divided in two parts, 26449 and 120, that added together give a square (26569 = 163²).

The spelling of 26449120 in words is "twenty-six million, four hundred forty-nine thousand, one hundred twenty".