26040000 has 280 divisors, whose sum is σ = 101567488. Its totient is φ = 5760000.

The previous prime is 26039987. The next prime is 26040017. The reversal of 26040000 is 4062.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 839985 + ... + 840015.

Almost surely, 2^26040000 is an apocalyptic number.

26040000 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 26040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50783744).

26040000 is an abundant number, since it is smaller than the sum of its proper divisors (75527488).

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

26040000 is an equidigital number, since it uses as much as digits as its factorization.

26040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 26040000 is about 5102.9403288692. The cubic root of 26040000 is about 296.4014518734.

Adding to 26040000 its reverse (4062), we get a palindrome (26044062).

The spelling of 26040000 in words is "twenty-six million, forty thousand".