26364800 has 192 divisors, whose sum is σ = 81959040. Its totient is φ = 8140800.

The previous prime is 26364781. The next prime is 26364803. The reversal of 26364800 is 846362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26364803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246347 + ... + 246453.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 2^26364800 is an apocalyptic number.

26364800 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 26364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

26364800 is an abundant number, since it is smaller than the sum of its proper divisors (55594240).

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

26364800 is a wasteful number, since it uses less digits than its factorization.

26364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 26364800 is about 5134.6664935515. Note that the first 3 decimals coincide. The cubic root of 26364800 is about 297.6287134588.

The spelling of 26364800 in words is "twenty-six million, three hundred sixty-four thousand, eight hundred".