26506800 has 180 divisors, whose sum is σ = 94946800. Its totient is φ = 6842880.

The previous prime is 26506771. The next prime is 26506801. The reversal of 26506800 is 860562.

26506800 is a `hidden beast` number, since 2 + 650 + 6 + 8 + 0 + 0 = 666.

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

It is a super-2 number, since 2×26506800² = 1405220892480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26506801) 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 35 ways as a sum of consecutive naturals, for example, 133101 + ... + 133299.

Almost surely, 2^26506800 is an apocalyptic number.

26506800 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 26506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47473400).

26506800 is an abundant number, since it is smaller than the sum of its proper divisors (68440000).

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

26506800 is a wasteful number, since it uses less digits than its factorization.

26506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 26506800 is about 5148.4755025153. The cubic root of 26506800 is about 298.1620966983.

The spelling of 26506800 in words is "twenty-six million, five hundred six thousand, eight hundred".