26852000 has 144 divisors (see below), whose sum is σ = 77307048. Its totient is φ = 9139200.

The previous prime is 26851963. The next prime is 26852003. The reversal of 26852000 is 25862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8976016 + 17875984 = 2996^2 + 4228^2 .

It is not an unprimeable number, because it can be changed into a prime (26852003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195932 + ... + 196068.

Almost surely, 2^26852000 is an apocalyptic number.

26852000 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 26852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38653524).

26852000 is an abundant number, since it is smaller than the sum of its proper divisors (50455048).

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

26852000 is a wasteful number, since it uses less digits than its factorization.

26852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 26852000 is about 5181.8915465301. The cubic root of 26852000 is about 299.4508472360.

Adding to 26852000 its reverse (25862), we get a palindrome (26877862).

The spelling of 26852000 in words is "twenty-six million, eight hundred fifty-two thousand".