26208000 has 432 divisors, whose sum is σ = 116066496. Its totient is φ = 5529600.

The previous prime is 26207983. The next prime is 26208001. The reversal of 26208000 is 80262.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26208001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015994 + ... + 2016006.

Almost surely, 2^26208000 is an apocalyptic number.

26208000 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 26208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58033248).

26208000 is an abundant number, since it is smaller than the sum of its proper divisors (89858496).

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

26208000 is a wasteful number, since it uses less digits than its factorization.

26208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26208000 is about 5119.3749618484. The cubic root of 26208000 is about 297.0375084417.

Adding to 26208000 its reverse (80262), we get a palindrome (26288262).

The spelling of 26208000 in words is "twenty-six million, two hundred eight thousand".