26838216 has 80 divisors (see below), whose sum is σ = 76230000. Its totient is φ = 8820576.

The previous prime is 26838211. The next prime is 26838221. The reversal of 26838216 is 61283862.

26838216 is a `hidden beast` number, since 268 + 382 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (26838211) and next prime (26838221).

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 not an unprimeable number, because it can be changed into a prime (26838211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53535 + ... + 54033.

It is an arithmetic number, because the mean of its divisors is an integer number (952875).

Almost surely, 2^26838216 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 26838216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38115000).

26838216 is an abundant number, since it is smaller than the sum of its proper divisors (49391784).

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

26838216 is a wasteful number, since it uses less digits than its factorization.

26838216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

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

The square root of 26838216 is about 5180.5613595440. The cubic root of 26838216 is about 299.3995991979.

The spelling of 26838216 in words is "twenty-six million, eight hundred thirty-eight thousand, two hundred sixteen".