26442144 has 36 divisors (see below), whose sum is σ = 75195666. Its totient is φ = 8813952.

The previous prime is 26442139. The next prime is 26442149. The reversal of 26442144 is 44124462.

It is a happy number.

26442144 is a `hidden beast` number, since 2 + 644 + 2 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (26442139) and next prime (26442149).

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 13046544 = 3660^2 + 3612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (26442149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45619 + ... + 46194.

Almost surely, 2^26442144 is an apocalyptic number.

26442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26442144 is an abundant number, since it is smaller than the sum of its proper divisors (48753522).

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

26442144 is a wasteful number, since it uses less digits than its factorization.

26442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91829 (or 91818 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 26442144 is about 5142.1925284843. The cubic root of 26442144 is about 297.9194713566.

The spelling of 26442144 in words is "twenty-six million, four hundred forty-two thousand, one hundred forty-four".