26748032 has 32 divisors (see below), whose sum is σ = 53840700. Its totient is φ = 13235200.

The previous prime is 26748023. The next prime is 26748037. The reversal of 26748032 is 23084762.

It can be written as a sum of positive squares in 2 ways, for example, as 26460736 + 287296 = 5144^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 26748032.

It is not an unprimeable number, because it can be changed into a prime (26748037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11894 + ... + 13962.

Almost surely, 2^26748032 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 26748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920350).

26748032 is an abundant number, since it is smaller than the sum of its proper divisors (27092668).

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

26748032 is a wasteful number, since it uses less digits than its factorization.

26748032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 26748032 is about 5171.8499591539. The cubic root of 26748032 is about 299.0638670741.

The spelling of 26748032 in words is "twenty-six million, seven hundred forty-eight thousand, thirty-two".