26126640 has 120 divisors (see below), whose sum is σ = 88730928. Its totient is φ = 6888960.

The previous prime is 26126629. The next prime is 26126641. The reversal of 26126640 is 4662162.

It is a happy number.

26126640 is a `hidden beast` number, since 2 + 6 + 12 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (26126641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 94182 + ... + 94458.

Almost surely, 2^26126640 is an apocalyptic number.

26126640 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 26126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44365464).

26126640 is an abundant number, since it is smaller than the sum of its proper divisors (62604288).

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

26126640 is a wasteful number, since it uses less digits than its factorization.

26126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26126640 is about 5111.4225025916. The cubic root of 26126640 is about 296.7298158434.

The spelling of 26126640 in words is "twenty-six million, one hundred twenty-six thousand, six hundred forty".