26881632 has 72 divisors (see below), whose sum is σ = 79298856. Its totient is φ = 8957952.

The previous prime is 26881601. The next prime is 26881643. The reversal of 26881632 is 23618862.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6048 + ... + 9504.

It is an arithmetic number, because the mean of its divisors is an integer number (1101373).

Almost surely, 2^26881632 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 26881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39649428).

26881632 is an abundant number, since it is smaller than the sum of its proper divisors (52417224).

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

26881632 is an equidigital number, since it uses as much as digits as its factorization.

26881632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3462 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 26881632 is about 5184.7499457544. The cubic root of 26881632 is about 299.5609577866.

The spelling of 26881632 in words is "twenty-six million, eight hundred eighty-one thousand, six hundred thirty-two".