26014200 has 96 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 6870400.

The previous prime is 26014193. The next prime is 26014201. The reversal of 26014200 is 241062.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26014200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26014201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114487 + ... + 114713.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^26014200 is an apocalyptic number.

26014200 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 26014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

26014200 is an abundant number, since it is smaller than the sum of its proper divisors (55409160).

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

26014200 is a wasteful number, since it uses less digits than its factorization.

26014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 26014200 is about 5100.4117480847. The cubic root of 26014200 is about 296.3035296459.

Adding to 26014200 its reverse (241062), we get a palindrome (26255262).

The spelling of 26014200 in words is "twenty-six million, fourteen thousand, two hundred".