26213600 has 144 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 8640000.

The previous prime is 26213599. The next prime is 26213611. The reversal of 26213600 is 631262.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173525 + ... + 173675.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 2^26213600 is an apocalyptic number.

26213600 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 26213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

26213600 is an abundant number, since it is smaller than the sum of its proper divisors (49781536).

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

26213600 is a wasteful number, since it uses less digits than its factorization.

26213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 26213600 is about 5119.9218744039. The cubic root of 26213600 is about 297.0586634527.

Adding to 26213600 its reverse (631262), we get a palindrome (26844862).

The spelling of 26213600 in words is "twenty-six million, two hundred thirteen thousand, six hundred".