26233200 has 240 divisors, whose sum is σ = 107016960. Its totient is φ = 5978880.

The previous prime is 26233199. The next prime is 26233219. The reversal of 26233200 is 233262.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75427 + ... + 75773.

It is an arithmetic number, because the mean of its divisors is an integer number (445904).

Almost surely, 2^26233200 is an apocalyptic number.

26233200 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 26233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53508480).

26233200 is an abundant number, since it is smaller than the sum of its proper divisors (80783760).

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

26233200 is a wasteful number, since it uses less digits than its factorization.

26233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 26233200 is about 5121.8356084513. The cubic root of 26233200 is about 297.1326822735.

Adding to 26233200 its reverse (233262), we get a palindrome (26466462).

The spelling of 26233200 in words is "twenty-six million, two hundred thirty-three thousand, two hundred".