26340000 has 120 divisors (see below), whose sum is σ = 86597280. Its totient is φ = 7008000.

The previous prime is 26339969. The next prime is 26340011. The reversal of 26340000 is 4362.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59781 + ... + 60219.

It is an arithmetic number, because the mean of its divisors is an integer number (721644).

Almost surely, 2^26340000 is an apocalyptic number.

26340000 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 26340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43298640).

26340000 is an abundant number, since it is smaller than the sum of its proper divisors (60257280).

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

26340000 is an equidigital number, since it uses as much as digits as its factorization.

26340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 26340000 is about 5132.2509681425. The cubic root of 26340000 is about 297.5353628844.

Adding to 26340000 its reverse (4362), we get a palindrome (26344362).

The spelling of 26340000 in words is "twenty-six million, three hundred forty thousand".