26226144 has 72 divisors (see below), whose sum is σ = 85241520. Its totient is φ = 7492608.

The previous prime is 26226143. The next prime is 26226197. The reversal of 26226144 is 44162262.

26226144 is a `hidden beast` number, since 26 + 22 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26226143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4489 + ... + 8520.

It is an arithmetic number, because the mean of its divisors is an integer number (1183910).

Almost surely, 2^26226144 is an apocalyptic number.

26226144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26226144 is an abundant number, since it is smaller than the sum of its proper divisors (59015376).

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

26226144 is a wasteful number, since it uses less digits than its factorization.

26226144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13021 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 26226144 is about 5121.1467465793. The cubic root of 26226144 is about 297.1060397466.

The spelling of 26226144 in words is "twenty-six million, two hundred twenty-six thousand, one hundred forty-four".