26181800 has 48 divisors (see below), whose sum is σ = 61482300. Its totient is φ = 10368000.

The previous prime is 26181787. The next prime is 26181803. The reversal of 26181800 is 818162.

It can be written as a sum of positive squares in 6 ways, for example, as 3467044 + 22714756 = 1862^2 + 4766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26181800.

It is not an unprimeable number, because it can be changed into a prime (26181803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21200 + ... + 22400.

Almost surely, 2^26181800 is an apocalyptic number.

26181800 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 26181800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741150).

26181800 is an abundant number, since it is smaller than the sum of its proper divisors (35300500).

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

26181800 is a wasteful number, since it uses less digits than its factorization.

26181800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 26181800 is about 5116.8154158617. The cubic root of 26181800 is about 296.9384931602.

Adding to 26181800 its reverse (818162), we get a palindrome (26999962).

The spelling of 26181800 in words is "twenty-six million, one hundred eighty-one thousand, eight hundred".