26887000 has 128 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 8764800.

The previous prime is 26886991. The next prime is 26887001. The reversal of 26887000 is 78862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26887001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160917 + ... + 161083.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^26887000 is an apocalyptic number.

26887000 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 26887000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

26887000 is an abundant number, since it is smaller than the sum of its proper divisors (48592040).

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

26887000 is a wasteful number, since it uses less digits than its factorization.

26887000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 26887000 is about 5185.2675919378. The cubic root of 26887000 is about 299.5808962610.

The spelling of 26887000 in words is "twenty-six million, eight hundred eighty-seven thousand".