26886144 has 60 divisors (see below), whose sum is σ = 71825264. Its totient is φ = 8945664.

The previous prime is 26886143. The next prime is 26886151. The reversal of 26886144 is 44168862.

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 (26886143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48879 + ... + 49425.

Almost surely, 2^26886144 is an apocalyptic number.

26886144 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 26886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35912632).

26886144 is an abundant number, since it is smaller than the sum of its proper divisors (44939120).

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

26886144 is an frugal number, since it uses more digits than its factorization.

26886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 26886144 is about 5185.1850497354. The cubic root of 26886144 is about 299.5777169802.

The spelling of 26886144 in words is "twenty-six million, eight hundred eighty-six thousand, one hundred forty-four".