26101600 has 144 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 8686080.

The previous prime is 26101589. The next prime is 26101609. The reversal of 26101600 is 610162.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26101609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330361 + ... + 330439.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^26101600 is an apocalyptic number.

26101600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26101600 is the 2950-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

26101600 is an abundant number, since it is smaller than the sum of its proper divisors (48893600).

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

26101600 is a wasteful number, since it uses less digits than its factorization.

26101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 26101600 is about 5108.9724994367. The cubic root of 26101600 is about 296.6349893936.

Adding to 26101600 its reverse (610162), we get a palindrome (26711762).

The spelling of 26101600 in words is "twenty-six million, one hundred one thousand, six hundred".