26135400 has 96 divisors (see below), whose sum is σ = 82985760. Its totient is φ = 6800640.

The previous prime is 26135381. The next prime is 26135411. The reversal of 26135400 is 453162.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25294 + ... + 26306.

It is an arithmetic number, because the mean of its divisors is an integer number (864435).

Almost surely, 2^26135400 is an apocalyptic number.

26135400 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 26135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41492880).

26135400 is an abundant number, since it is smaller than the sum of its proper divisors (56850360).

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

26135400 is a wasteful number, since it uses less digits than its factorization.

26135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 26135400 is about 5112.2793350911. The cubic root of 26135400 is about 296.7629756467.

Adding to 26135400 its reverse (453162), we get a palindrome (26588562).

The spelling of 26135400 in words is "twenty-six million, one hundred thirty-five thousand, four hundred".