26161600 has 84 divisors (see below), whose sum is σ = 65480184. Its totient is φ = 10286080.

The previous prime is 26161591. The next prime is 26161601. The reversal of 26161600 is 616162.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26161601) 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 11 ways as a sum of consecutive naturals, for example, 132702 + ... + 132898.

It is an arithmetic number, because the mean of its divisors is an integer number (779526).

Almost surely, 2^26161600 is an apocalyptic number.

26161600 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 26161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32740092).

26161600 is an abundant number, since it is smaller than the sum of its proper divisors (39318584).

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

26161600 is a wasteful number, since it uses less digits than its factorization.

26161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 26161600 is about 5114.8411510036. The cubic root of 26161600 is about 296.8621080274.

Adding to 26161600 its reverse (616162), we get a palindrome (26777762).

The spelling of 26161600 in words is "twenty-six million, one hundred sixty-one thousand, six hundred".