26486800 has 60 divisors (see below), whose sum is σ = 66424320. Its totient is φ = 10130560.

The previous prime is 26486767. The next prime is 26486807. The reversal of 26486800 is 868462.

It is not an unprimeable number, because it can be changed into a prime (26486807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7761 + ... + 10639.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 2^26486800 is an apocalyptic number.

26486800 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 26486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212160).

26486800 is an abundant number, since it is smaller than the sum of its proper divisors (39937520).

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

26486800 is a wasteful number, since it uses less digits than its factorization.

26486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 26486800 is about 5146.5328134580. The cubic root of 26486800 is about 298.0870877400.

The spelling of 26486800 in words is "twenty-six million, four hundred eighty-six thousand, eight hundred".