26681144 has 64 divisors (see below), whose sum is σ = 59827200. Its totient is φ = 10917504.

The previous prime is 26681099. The next prime is 26681153. The reversal of 26681144 is 44118662.

26681144 = T₂₅ + T₂₆ + ... + T₅₄₂.

Its product of digits (9216) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 26681144.

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, 163607 + ... + 163769.

It is an arithmetic number, because the mean of its divisors is an integer number (934800).

Almost surely, 2^26681144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26681144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913600).

26681144 is an abundant number, since it is smaller than the sum of its proper divisors (33146056).

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

26681144 is a wasteful number, since it uses less digits than its factorization.

26681144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 26681144 is about 5165.3793665132. The cubic root of 26681144 is about 298.8143723146.

The spelling of 26681144 in words is "twenty-six million, six hundred eighty-one thousand, one hundred forty-four".