26556000 has 96 divisors (see below), whose sum is σ = 87036768. Its totient is φ = 7078400.

The previous prime is 26555999. The next prime is 26556001. The reversal of 26556000 is 65562.

It is an interprime number because it is at equal distance from previous prime (26555999) and next prime (26556001).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26556000² = 1410442272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26556001) 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 15 ways as a sum of consecutive naturals, for example, 10894 + ... + 13106.

It is an arithmetic number, because the mean of its divisors is an integer number (906633).

Almost surely, 2^26556000 is an apocalyptic number.

26556000 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 26556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43518384).

26556000 is an abundant number, since it is smaller than the sum of its proper divisors (60480768).

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

26556000 is a wasteful number, since it uses less digits than its factorization.

26556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 26556000 is about 5153.2514008148. The cubic root of 26556000 is about 298.3464582999.

It can be divided in two parts, 265 and 56000, that added together give a palindrome (56265).

The spelling of 26556000 in words is "twenty-six million, five hundred fifty-six thousand".