26966016 has 288 divisors, whose sum is σ = 102211200. Its totient is φ = 6635520.

The previous prime is 26966003. The next prime is 26966039. The reversal of 26966016 is 61066962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419255 + ... + 1419273.

It is an arithmetic number, because the mean of its divisors is an integer number (354900).

Almost surely, 2^26966016 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 26966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

26966016 is an abundant number, since it is smaller than the sum of its proper divisors (75245184).

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

26966016 is a wasteful number, since it uses less digits than its factorization.

26966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 26966016 is about 5192.8812811386. The cubic root of 26966016 is about 299.8740804883.

The spelling of 26966016 in words is "twenty-six million, nine hundred sixty-six thousand, sixteen".