26585416 has 64 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 10490880.

The previous prime is 26585413. The next prime is 26585441. The reversal of 26585416 is 61458562.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26585411) 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, 18765 + ... + 20131.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 2^26585416 is an apocalyptic number.

26585416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26585416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

26585416 is an abundant number, since it is smaller than the sum of its proper divisors (35467064).

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

26585416 is a wasteful number, since it uses less digits than its factorization.

26585416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 26585416 is about 5156.1047312870. The cubic root of 26585416 is about 298.4565768038.

The spelling of 26585416 in words is "twenty-six million, five hundred eighty-five thousand, four hundred sixteen".