26766816 has 48 divisors (see below), whose sum is σ = 70971264. Its totient is φ = 8832384.

The previous prime is 26766811. The next prime is 26766833. The reversal of 26766816 is 61866762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26766811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8535 + ... + 11241.

It is an arithmetic number, because the mean of its divisors is an integer number (1478568).

Almost surely, 2^26766816 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 26766816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35485632).

26766816 is an abundant number, since it is smaller than the sum of its proper divisors (44204448).

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

26766816 is a wasteful number, since it uses less digits than its factorization.

26766816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2815 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 26766816 is about 5173.6656250670. The cubic root of 26766816 is about 299.1338572848.

The spelling of 26766816 in words is "twenty-six million, seven hundred sixty-six thousand, eight hundred sixteen".