26643120 has 80 divisors (see below), whose sum is σ = 94398720. Its totient is φ = 6089472.

The previous prime is 26643119. The next prime is 26643121. The reversal of 26643120 is 2134662.

It is an interprime number because it is at equal distance from previous prime (26643119) and next prime (26643121).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (26643121) 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, 6250 + ... + 9609.

It is an arithmetic number, because the mean of its divisors is an integer number (1179984).

Almost surely, 2^26643120 is an apocalyptic number.

26643120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26643120 is an abundant number, since it is smaller than the sum of its proper divisors (67755600).

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

26643120 is a wasteful number, since it uses less digits than its factorization.

26643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15882 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 26643120 is about 5161.6973952373. The cubic root of 26643120 is about 298.6723554224.

Adding to 26643120 its reverse (2134662), we get a palindrome (28777782).

The spelling of 26643120 in words is "twenty-six million, six hundred forty-three thousand, one hundred twenty".