26801248 has 48 divisors (see below), whose sum is σ = 58831920. Its totient is φ = 11943936.

The previous prime is 26801237. The next prime is 26801261. The reversal of 26801248 is 84210862.

It is a super-4 number, since 4×26801248⁴ (a number of 31 digits) contains 4444 as substring.

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 7 ways as a sum of consecutive naturals, for example, 9040 + ... + 11632.

It is an arithmetic number, because the mean of its divisors is an integer number (1225665).

Almost surely, 2^26801248 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 26801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29415960).

26801248 is an abundant number, since it is smaller than the sum of its proper divisors (32030672).

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

26801248 is a wasteful number, since it uses less digits than its factorization.

26801248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 26801248 is about 5176.9921769305. The cubic root of 26801248 is about 299.2620678234.

The spelling of 26801248 in words is "twenty-six million, eight hundred one thousand, two hundred forty-eight".