26112000 has 208 divisors, whose sum is σ = 92001312. Its totient is φ = 6553600.

The previous prime is 26111941. The next prime is 26112007. The reversal of 26112000 is 21162.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 (26112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535992 + ... + 1536008.

It is an arithmetic number, because the mean of its divisors is an integer number (442314).

Almost surely, 2^26112000 is an apocalyptic number.

26112000 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 26112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000656).

26112000 is an abundant number, since it is smaller than the sum of its proper divisors (65889312).

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

26112000 is an equidigital number, since it uses as much as digits as its factorization.

26112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 26112000 is about 5109.9902152548. The cubic root of 26112000 is about 296.6743815413.

Adding to 26112000 its reverse (21162), we get a palindrome (26133162).

The spelling of 26112000 in words is "twenty-six million, one hundred twelve thousand".