26140800 has 192 divisors, whose sum is σ = 98654400. Its totient is φ = 5959680.

The previous prime is 26140783. The next prime is 26140801. The reversal of 26140800 is 804162.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (26140801) 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, 67006 + ... + 67394.

It is an arithmetic number, because the mean of its divisors is an integer number (513825).

Almost surely, 2^26140800 is an apocalyptic number.

26140800 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 26140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327200).

26140800 is an abundant number, since it is smaller than the sum of its proper divisors (72513600).

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

26140800 is a wasteful number, since it uses less digits than its factorization.

26140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 26140800 is about 5112.8074479683. The cubic root of 26140800 is about 296.7834129298.

Adding to 26140800 its reverse (804162), we get a palindrome (26944962).

The spelling of 26140800 in words is "twenty-six million, one hundred forty thousand, eight hundred".