26641314 has 96 divisors (see below), whose sum is σ = 71435520. Its totient is φ = 7007616.

The previous prime is 26641313. The next prime is 26641357. The reversal of 26641314 is 41314662.

26641314 is a `hidden beast` number, since 2 + 6 + 641 + 3 + 14 = 666.

It is a super-2 number, since 2×26641314² = 1419519223293192, which contains 22 as substring.

Its product of digits (3456) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26641313) 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 47 ways as a sum of consecutive naturals, for example, 83884 + ... + 84200.

It is an arithmetic number, because the mean of its divisors is an integer number (744120).

Almost surely, 2^26641314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26641314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35717760).

26641314 is an abundant number, since it is smaller than the sum of its proper divisors (44794206).

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

26641314 is a wasteful number, since it uses less digits than its factorization.

26641314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

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

The square root of 26641314 is about 5161.5224498204. The cubic root of 26641314 is about 298.6656067826.

Adding to 26641314 its reverse (41314662), we get a palindrome (67955976).

The spelling of 26641314 in words is "twenty-six million, six hundred forty-one thousand, three hundred fourteen".