26426736 has 120 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 7542720.

The previous prime is 26426731. The next prime is 26426759. The reversal of 26426736 is 63762462.

It is a happy number.

26426736 is a `hidden beast` number, since 2 + 642 + 6 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×26426736² = 1396744751227392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26426736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26426731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26731 + ... + 27701.

Almost surely, 2^26426736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26426736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

26426736 is an abundant number, since it is smaller than the sum of its proper divisors (61317648).

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

26426736 is an equidigital number, since it uses as much as digits as its factorization.

26426736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 983 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 26426736 is about 5140.6941165566. The cubic root of 26426736 is about 297.8615936102.

It can be divided in two parts, 264 and 26736, that added together give a cube (27000 = 30³).

The spelling of 26426736 in words is "twenty-six million, four hundred twenty-six thousand, seven hundred thirty-six".