26331648 has 160 divisors (see below), whose sum is σ = 83804160. Its totient is φ = 7188480.

The previous prime is 26331637. The next prime is 26331649. The reversal of 26331648 is 84613362.

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

It is not an unprimeable number, because it can be changed into a prime (26331649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333273 + ... + 333351.

It is an arithmetic number, because the mean of its divisors is an integer number (523776).

Almost surely, 2^26331648 is an apocalyptic number.

26331648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41902080).

26331648 is an abundant number, since it is smaller than the sum of its proper divisors (57472512).

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

26331648 is an equidigital number, since it uses as much as digits as its factorization.

26331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 26331648 is about 5131.4372255734. The cubic root of 26331648 is about 297.5039116309.

The spelling of 26331648 in words is "twenty-six million, three hundred thirty-one thousand, six hundred forty-eight".