26116200 has 144 divisors (see below), whose sum is σ = 95752800. Its totient is φ = 6326400.

The previous prime is 26116193. The next prime is 26116219. The reversal of 26116200 is 261162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19141 + ... + 20459.

It is an arithmetic number, because the mean of its divisors is an integer number (664950).

Almost surely, 2^26116200 is an apocalyptic number.

26116200 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 26116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47876400).

26116200 is an abundant number, since it is smaller than the sum of its proper divisors (69636600).

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

26116200 is a wasteful number, since it uses less digits than its factorization.

26116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 26116200 is about 5110.4011584219. The cubic root of 26116200 is about 296.6902869437.

Adding to 26116200 its reverse (261162), we get a palindrome (26377362).

Multiplying 26116200 by its reverse (261162), we get a square (6820559024400 = 2611620²).

26116200 divided by its reverse (261162) gives a square (100 = 10²).

It can be divided in two parts, 261 and 16200, that added together give a palindrome (16461).

The spelling of 26116200 in words is "twenty-six million, one hundred sixteen thousand, two hundred".