26814816 has 144 divisors (see below), whose sum is σ = 89316864. Its totient is φ = 7471872.

The previous prime is 26814811. The next prime is 26814857. The reversal of 26814816 is 61841862.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26814816² = 1438068714227712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (26814811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94611 + ... + 94893.

It is an arithmetic number, because the mean of its divisors is an integer number (620256).

Almost surely, 2^26814816 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 26814816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44658432).

26814816 is an abundant number, since it is smaller than the sum of its proper divisors (62502048).

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

26814816 is a wasteful number, since it uses less digits than its factorization.

26814816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 26814816 is about 5178.3024245403. The cubic root of 26814816 is about 299.3125592874.

The spelling of 26814816 in words is "twenty-six million, eight hundred fourteen thousand, eight hundred sixteen".