26682816 has 56 divisors (see below), whose sum is σ = 72891904. Its totient is φ = 8605440.

The previous prime is 26682811. The next prime is 26682853. The reversal of 26682816 is 61828662.

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 (26682811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711 + ... + 8193.

Almost surely, 2^26682816 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 26682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36445952).

26682816 is an abundant number, since it is smaller than the sum of its proper divisors (46209088).

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

26682816 is a wasteful number, since it uses less digits than its factorization.

26682816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4519 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 26682816 is about 5165.5412107542. The cubic root of 26682816 is about 298.8206140159.

The spelling of 26682816 in words is "twenty-six million, six hundred eighty-two thousand, eight hundred sixteen".