26944320 has 224 divisors, whose sum is σ = 98316288. Its totient is φ = 6193152.

The previous prime is 26944319. The next prime is 26944321. The reversal of 26944320 is 2344962.

It is an interprime number because it is at equal distance from previous prime (26944319) and next prime (26944321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26944321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212097 + ... + 212223.

It is an arithmetic number, because the mean of its divisors is an integer number (438912).

Almost surely, 2^26944320 is an apocalyptic number.

26944320 is a gapful number since it is divisible by the number (20) 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 26944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49158144).

26944320 is an abundant number, since it is smaller than the sum of its proper divisors (71371968).

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

26944320 is a wasteful number, since it uses less digits than its factorization.

26944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 26944320 is about 5190.7918471077. The cubic root of 26944320 is about 299.7936358565.

The spelling of 26944320 in words is "twenty-six million, nine hundred forty-four thousand, three hundred twenty".