26116800 has 84 divisors (see below), whose sum is σ = 85700616. Its totient is φ = 6963200.

The previous prime is 26116789. The next prime is 26116807. The reversal of 26116800 is 861162.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (26116807) 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, 2080 + ... + 7520.

Almost surely, 2^26116800 is an apocalyptic number.

26116800 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 26116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42850308).

26116800 is an abundant number, since it is smaller than the sum of its proper divisors (59583816).

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

26116800 is a wasteful number, since it uses less digits than its factorization.

26116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 26116800 is about 5110.4598618911. The cubic root of 26116800 is about 296.6925590048.

Adding to 26116800 its reverse (861162), we get a palindrome (26977962).

The spelling of 26116800 in words is "twenty-six million, one hundred sixteen thousand, eight hundred".