26642144 has 48 divisors (see below), whose sum is σ = 54867456. Its totient is φ = 12720000.

The previous prime is 26642141. The next prime is 26642149. The reversal of 26642144 is 44124662.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26642141) 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, 106019 + ... + 106269.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^26642144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27433728).

26642144 is an abundant number, since it is smaller than the sum of its proper divisors (28225312).

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

26642144 is a wasteful number, since it uses less digits than its factorization.

26642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 26642144 is about 5161.6028518281. The cubic root of 26642144 is about 298.6687083548.

The spelling of 26642144 in words is "twenty-six million, six hundred forty-two thousand, one hundred forty-four".