26893440 has 384 divisors, whose sum is σ = 114566400. Its totient is φ = 5677056.

The previous prime is 26893429. The next prime is 26893441. The reversal of 26893440 is 4439862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 26893395 and 26893404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26893441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927346 + ... + 927374.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 2^26893440 is an apocalyptic number.

26893440 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 26893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

26893440 is an abundant number, since it is smaller than the sum of its proper divisors (87672960).

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

26893440 is a wasteful number, since it uses less digits than its factorization.

26893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 26893440 is about 5185.8885448879. Note that the first 3 decimals coincide. The cubic root of 26893440 is about 299.6048129860.

The spelling of 26893440 in words is "twenty-six million, eight hundred ninety-three thousand, four hundred forty".