26289000 has 192 divisors, whose sum is σ = 93450240. Its totient is φ = 6652800.

The previous prime is 26288963. The next prime is 26289001. The reversal of 26289000 is 98262.

It is a super-2 number, since 2×26289000² = 1382223042000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26289001) 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, 206937 + ... + 207063.

It is an arithmetic number, because the mean of its divisors is an integer number (486720).

Almost surely, 2^26289000 is an apocalyptic number.

26289000 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 26289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46725120).

26289000 is an abundant number, since it is smaller than the sum of its proper divisors (67161240).

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

26289000 is a wasteful number, since it uses less digits than its factorization.

26289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 26289000 is about 5127.2799806525. The cubic root of 26289000 is about 297.3432076370.

It can be divided in two parts, 2628 and 9000, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 26289000 in words is "twenty-six million, two hundred eighty-nine thousand".