26478144 has 224 divisors, whose sum is σ = 97536000. Its totient is φ = 6842880.

The previous prime is 26478121. The next prime is 26478149. The reversal of 26478144 is 44187462.

26478144 is a `hidden beast` number, since 2 + 647 + 8 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26478099 and 26478108.

It is not an unprimeable number, because it can be changed into a prime (26478149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132957 + ... + 133155.

Almost surely, 2^26478144 is an apocalyptic number.

26478144 is a gapful number since it is divisible by the number (24) 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 26478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768000).

26478144 is an abundant number, since it is smaller than the sum of its proper divisors (71057856).

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

26478144 is a wasteful number, since it uses less digits than its factorization.

26478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 26478144 is about 5145.6917902261. The cubic root of 26478144 is about 298.0546121552.

The spelling of 26478144 in words is "twenty-six million, four hundred seventy-eight thousand, one hundred forty-four".