26561952 has 96 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 8709120.

The previous prime is 26561929. The next prime is 26561959. The reversal of 26561952 is 25916562.

26561952 is a `hidden beast` number, since 2 + 6 + 561 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (26561959) 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 15 ways as a sum of consecutive naturals, for example, 61128 + ... + 61560.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^26561952 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 26561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

26561952 is an abundant number, since it is smaller than the sum of its proper divisors (52183008).

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

26561952 is a wasteful number, since it uses less digits than its factorization.

26561952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 26561952 is about 5153.8288679389. The cubic root of 26561952 is about 298.3687461127.

The spelling of 26561952 in words is "twenty-six million, five hundred sixty-one thousand, nine hundred fifty-two".