26213200 has 90 divisors (see below), whose sum is σ = 68790302. Its totient is φ = 9542400.

The previous prime is 26213189. The next prime is 26213221. The reversal of 26213200 is 231262.

It can be written as a sum of positive squares in 3 ways, for example, as 80656 + 26132544 = 284^2 + 5112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 369165 + ... + 369235.

Almost surely, 2^26213200 is an apocalyptic number.

26213200 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 26213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34395151).

26213200 is an abundant number, since it is smaller than the sum of its proper divisors (42577102).

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

26213200 is a wasteful number, since it uses less digits than its factorization.

26213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26213200 is about 5119.8828111589. The cubic root of 26213200 is about 297.0571524805.

Adding to 26213200 its reverse (231262), we get a palindrome (26444462).

The spelling of 26213200 in words is "twenty-six million, two hundred thirteen thousand, two hundred".