26968800 has 144 divisors (see below), whose sum is σ = 93087792. Its totient is φ = 6758400.

The previous prime is 26968787. The next prime is 26968801. The reversal of 26968800 is 886962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26968801) 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 23 ways as a sum of consecutive naturals, for example, 40470 + ... + 41130.

It is an arithmetic number, because the mean of its divisors is an integer number (646443).

Almost surely, 2^26968800 is an apocalyptic number.

26968800 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 26968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46543896).

26968800 is an abundant number, since it is smaller than the sum of its proper divisors (66118992).

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

26968800 is a wasteful number, since it uses less digits than its factorization.

26968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 26968800 is about 5193.1493334970. The cubic root of 26968800 is about 299.8843999056.

The spelling of 26968800 in words is "twenty-six million, nine hundred sixty-eight thousand, eight hundred".