26540800 has 216 divisors, whose sum is σ = 79838640. Its totient is φ = 8601600.

The previous prime is 26540783. The next prime is 26540821. The reversal of 26540800 is 804562.

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

It is an unprimeable number.

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, 915186 + ... + 915214.

Almost surely, 2^26540800 is an apocalyptic number.

26540800 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 26540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39919320).

26540800 is an abundant number, since it is smaller than the sum of its proper divisors (53297840).

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

26540800 is a wasteful number, since it uses less digits than its factorization.

26540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

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

The square root of 26540800 is about 5151.7763926630. The cubic root of 26540800 is about 298.2895253826.

The spelling of 26540800 in words is "twenty-six million, five hundred forty thousand, eight hundred".