26816000 has 80 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 10700800.

The previous prime is 26815979. The next prime is 26816017. The reversal of 26816000 is 61862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63791 + ... + 64209.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^26816000 is an apocalyptic number.

26816000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

26816000 is an abundant number, since it is smaller than the sum of its proper divisors (40210960).

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

26816000 is an frugal number, since it uses more digits than its factorization.

26816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 26816000 is about 5178.4167464583. The cubic root of 26816000 is about 299.3169645741.

Adding to 26816000 its reverse (61862), we get a palindrome (26877862).

The spelling of 26816000 in words is "twenty-six million, eight hundred sixteen thousand".