26449200 has 240 divisors, whose sum is σ = 98406400. Its totient is φ = 6739200.

The previous prime is 26449193. The next prime is 26449207. The reversal of 26449200 is 294462.

It is an interprime number because it is at equal distance from previous prime (26449193) and next prime (26449207).

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 (27).

It is not an unprimeable number, because it can be changed into a prime (26449207) 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, 334761 + ... + 334839.

Almost surely, 2^26449200 is an apocalyptic number.

26449200 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 26449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203200).

26449200 is an abundant number, since it is smaller than the sum of its proper divisors (71957200).

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

26449200 is a wasteful number, since it uses less digits than its factorization.

26449200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26449200 is about 5142.8785713839. The cubic root of 26449200 is about 297.9459686134.

The spelling of 26449200 in words is "twenty-six million, four hundred forty-nine thousand, two hundred".