26026000 has 240 divisors, whose sum is σ = 84958848. Its totient is φ = 7488000.

The previous prime is 26025971. The next prime is 26026001. The reversal of 26026000 is 62062.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (26026001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001994 + ... + 2002006.

Almost surely, 2^26026000 is an apocalyptic number.

26026000 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 26026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42479424).

26026000 is an abundant number, since it is smaller than the sum of its proper divisors (58932848).

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

26026000 is a wasteful number, since it uses less digits than its factorization.

26026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26026000 is about 5101.5683862906. The cubic root of 26026000 is about 296.3483238113.

Adding to 26026000 its reverse (62062), we get a palindrome (26088062).

It can be divided in two parts, 260 and 26000, that multiplied together give a square (6760000 = 2600²).

The spelling of 26026000 in words is "twenty-six million, twenty-six thousand".