26208640 has 64 divisors (see below), whose sum is σ = 64725120. Its totient is φ = 10137600.

The previous prime is 26208613. The next prime is 26208641. The reversal of 26208640 is 4680262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 26208599 and 26208608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26208641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19180 + ... + 20500.

It is an arithmetic number, because the mean of its divisors is an integer number (1011330).

Almost surely, 2^26208640 is an apocalyptic number.

26208640 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 26208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32362560).

26208640 is an abundant number, since it is smaller than the sum of its proper divisors (38516480).

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

26208640 is a wasteful number, since it uses less digits than its factorization.

26208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 26208640 is about 5119.4374690976. The cubic root of 26208640 is about 297.0399263098.

The spelling of 26208640 in words is "twenty-six million, two hundred eight thousand, six hundred forty".