26866400 has 144 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 9408000.

The previous prime is 26866391. The next prime is 26866421. The reversal of 26866400 is 466862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378365 + ... + 378435.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^26866400 is an apocalyptic number.

26866400 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 26866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

26866400 is an abundant number, since it is smaller than the sum of its proper divisors (47378848).

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

26866400 is a wasteful number, since it uses less digits than its factorization.

26866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 26866400 is about 5183.2808143106. The cubic root of 26866400 is about 299.5043667952.

The spelling of 26866400 in words is "twenty-six million, eight hundred sixty-six thousand, four hundred".