26805400 has 48 divisors (see below), whose sum is σ = 62987040. Its totient is φ = 10608000.

The previous prime is 26805397. The next prime is 26805407. The reversal of 26805400 is 450862.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26805407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19537 + ... + 20863.

It is an arithmetic number, because the mean of its divisors is an integer number (1312230).

Almost surely, 2^26805400 is an apocalyptic number.

26805400 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 26805400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31493520).

26805400 is an abundant number, since it is smaller than the sum of its proper divisors (36181640).

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

26805400 is a wasteful number, since it uses less digits than its factorization.

26805400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 26805400 is about 5177.3931664497. The cubic root of 26805400 is about 299.2775207350.

The spelling of 26805400 in words is "twenty-six million, eight hundred five thousand, four hundred".