26432640 has 192 divisors, whose sum is σ = 98574840. Its totient is φ = 6488064.

The previous prime is 26432633. The next prime is 26432647. The reversal of 26432640 is 4623462.

It is an interprime number because it is at equal distance from previous prime (26432633) and next prime (26432647).

It can be written as a sum of positive squares in 4 ways, for example, as 15303744 + 11128896 = 3912^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (26432647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74704 + ... + 75056.

It is a vampire number, since it can be written as 4236 ⋅ 6240 (with its own digits).

Almost surely, 2^26432640 is an apocalyptic number.

26432640 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 26432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49287420).

26432640 is an abundant number, since it is smaller than the sum of its proper divisors (72142200).

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

26432640 is a wasteful number, since it uses less digits than its factorization.

26432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 26432640 is about 5141.2683260067. The cubic root of 26432640 is about 297.8837737224.

It can be divided in two parts, 26432 and 640, that added together give a palindrome (27072).

The spelling of 26432640 in words is "twenty-six million, four hundred thirty-two thousand, six hundred forty".