26820000 has 180 divisors, whose sum is σ = 95945850. Its totient is φ = 7104000.

The previous prime is 26819953. The next prime is 26820007. The reversal of 26820000 is 2862.

It can be written as a sum of positive squares in 5 ways, for example, as 318096 + 26501904 = 564^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (26820007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179926 + ... + 180074.

Almost surely, 2^26820000 is an apocalyptic number.

26820000 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 26820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47972925).

26820000 is an abundant number, since it is smaller than the sum of its proper divisors (69125850).

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

26820000 is a wasteful number, since it uses less digits than its factorization.

26820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26820000 is about 5178.8029504896. The cubic root of 26820000 is about 299.3318463404.

Adding to 26820000 its reverse (2862), we get a palindrome (26822862).

The spelling of 26820000 in words is "twenty-six million, eight hundred twenty thousand".