26382144 has 56 divisors (see below), whose sum is σ = 70185280. Its totient is φ = 8745984.

The previous prime is 26382143. The next prime is 26382149. The reversal of 26382144 is 44128362.

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 (26382143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59877 + ... + 60315.

Almost surely, 2^26382144 is an apocalyptic number.

26382144 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 26382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35092640).

26382144 is an abundant number, since it is smaller than the sum of its proper divisors (43803136).

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

26382144 is a wasteful number, since it uses less digits than its factorization.

26382144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 757 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 26382144 is about 5136.3551279093. The cubic root of 26382144 is about 297.6939638541.

The spelling of 26382144 in words is "twenty-six million, three hundred eighty-two thousand, one hundred forty-four".