26426000 has 80 divisors (see below), whose sum is σ = 65131248. Its totient is φ = 10368000.

The previous prime is 26425967. The next prime is 26426021. The reversal of 26426000 is 62462.

It can be written as a sum of positive squares in 8 ways, for example, as 16516096 + 9909904 = 4064^2 + 3148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 145910 + ... + 146090.

Almost surely, 2^26426000 is an apocalyptic number.

26426000 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 26426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32565624).

26426000 is an abundant number, since it is smaller than the sum of its proper divisors (38705248).

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

26426000 is a wasteful number, since it uses less digits than its factorization.

26426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 26426000 is about 5140.6225303945. The cubic root of 26426000 is about 297.8588283782.

Adding to 26426000 its reverse (62462), we get a palindrome (26488462).

The spelling of 26426000 in words is "twenty-six million, four hundred twenty-six thousand".