26257248 has 144 divisors (see below), whose sum is σ = 82083456. Its totient is φ = 7925760.

The previous prime is 26257241. The next prime is 26257277. The reversal of 26257248 is 84275262.

26257248 is a `hidden beast` number, since 2 + 625 + 7 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26257241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151690 + ... + 151862.

It is an arithmetic number, because the mean of its divisors is an integer number (570024).

Almost surely, 2^26257248 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 26257248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041728).

26257248 is an abundant number, since it is smaller than the sum of its proper divisors (55826208).

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

26257248 is a wasteful number, since it uses less digits than its factorization.

26257248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 26257248 is about 5124.1826665333. The cubic root of 26257248 is about 297.2234484837.

The spelling of 26257248 in words is "twenty-six million, two hundred fifty-seven thousand, two hundred forty-eight".