26284752 has 120 divisors (see below), whose sum is σ = 83501600. Its totient is φ = 7651584.

The previous prime is 26284751. The next prime is 26284777. The reversal of 26284752 is 25748262.

26284752 is nontrivially palindromic in base 7.

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 (26284751) 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, 35199 + ... + 35937.

Almost surely, 2^26284752 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 26284752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41750800).

26284752 is an abundant number, since it is smaller than the sum of its proper divisors (57216848).

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

26284752 is a wasteful number, since it uses less digits than its factorization.

26284752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

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

The square root of 26284752 is about 5126.8657091833. The cubic root of 26284752 is about 297.3271910269.

The spelling of 26284752 in words is "twenty-six million, two hundred eighty-four thousand, seven hundred fifty-two".