26563752 has 48 divisors (see below), whose sum is σ = 72495540. Its totient is φ = 8786688.

The previous prime is 26563721. The next prime is 26563753. The reversal of 26563752 is 25736562.

It is a happy number.

26563752 is a `hidden beast` number, since 26 + 563 + 75 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26563716 + 36 = 5154^2 + 6^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (26563753) by changing a digit.

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, 8518 + ... + 11210.

Almost surely, 2^26563752 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 26563752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247770).

26563752 is an abundant number, since it is smaller than the sum of its proper divisors (45931788).

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

26563752 is a wasteful number, since it uses less digits than its factorization.

26563752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2835 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 26563752 is about 5154.0034924319. The cubic root of 26563752 is about 298.3754857229.

Subtracting from 26563752 its sum of digits (36), we obtain a square (26563716 = 5154²).

The spelling of 26563752 in words is "twenty-six million, five hundred sixty-three thousand, seven hundred fifty-two".