26800032 has 96 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 7250688.

The previous prime is 26800009. The next prime is 26800043. The reversal of 26800032 is 23000862.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 26799981 and 26800008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11719 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (882000).

Almost surely, 2^26800032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

26800032 is an abundant number, since it is smaller than the sum of its proper divisors (57871968).

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

26800032 is a wasteful number, since it uses less digits than its factorization.

26800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 26800032 is about 5176.8747328866. The cubic root of 26800032 is about 299.2575418131.

Adding to 26800032 its reverse (23000862), we get a palindrome (49800894).

The spelling of 26800032 in words is "twenty-six million, eight hundred thousand, thirty-two".