26400033 has 32 divisors (see below), whose sum is σ = 43130880. Its totient is φ = 15826320.

The previous prime is 26400029. The next prime is 26400047. The reversal of 26400033 is 33000462.

It is not a de Polignac number, because 26400033 - 2² = 26400029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26399979 and 26400015.

It is not an unprimeable number, because it can be changed into a prime (26400013) 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 31 ways as a sum of consecutive naturals, for example, 30160 + ... + 31022.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^26400033 is an apocalyptic number.

It is an amenable number.

26400033 is a deficient number, since it is larger than the sum of its proper divisors (16730847).

26400033 is a wasteful number, since it uses less digits than its factorization.

26400033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 26400033 is about 5138.0962427732. The cubic root of 26400033 is about 297.7612346578.

Adding to 26400033 its reverse (33000462), we get a palindrome (59400495).

The spelling of 26400033 in words is "twenty-six million, four hundred thousand, thirty-three".