26688144 has 80 divisors (see below), whose sum is σ = 80451200. Its totient is φ = 7620480.

The previous prime is 26688131. The next prime is 26688157. The reversal of 26688144 is 44188662.

It is an interprime number because it is at equal distance from previous prime (26688131) and next prime (26688157).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15654 + ... + 17274.

It is an arithmetic number, because the mean of its divisors is an integer number (1005640).

Almost surely, 2^26688144 is an apocalyptic number.

26688144 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 26688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40225600).

26688144 is an abundant number, since it is smaller than the sum of its proper divisors (53763056).

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

26688144 is a wasteful number, since it uses less digits than its factorization.

26688144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1633 counting only the distinct ones).

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

The square root of 26688144 is about 5166.0569102556. The cubic root of 26688144 is about 298.8405021001.

It can be divided in two parts, 266 and 88144, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 26688144 in words is "twenty-six million, six hundred eighty-eight thousand, one hundred forty-four".