26585104 has 120 divisors (see below), whose sum is σ = 68953920. Its totient is φ = 9642240.

The previous prime is 26585089. The next prime is 26585107. The reversal of 26585104 is 40158562.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (26585107) 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, 857569 + ... + 857599.

It is an arithmetic number, because the mean of its divisors is an integer number (574616).

Almost surely, 2^26585104 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 26585104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476960).

26585104 is an abundant number, since it is smaller than the sum of its proper divisors (42368816).

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

26585104 is a wasteful number, since it uses less digits than its factorization.

26585104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 26585104 is about 5156.0744758004. The cubic root of 26585104 is about 298.4554092612.

The spelling of 26585104 in words is "twenty-six million, five hundred eighty-five thousand, one hundred four".