26982144 has 162 divisors, whose sum is σ = 90876240. Its totient is φ = 7676928.

The previous prime is 26982133. The next prime is 26982149. The reversal of 26982144 is 44128962.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 26982099 and 26982108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26982149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112777 + ... + 113015.

Almost surely, 2^26982144 is an apocalyptic number.

26982144 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 26982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45438120).

26982144 is an abundant number, since it is smaller than the sum of its proper divisors (63894096).

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

26982144 is a wasteful number, since it uses less digits than its factorization.

26982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 26982144 is about 5194.4339441367. The cubic root of 26982144 is about 299.9338520826.

The spelling of 26982144 in words is "twenty-six million, nine hundred eighty-two thousand, one hundred forty-four".