26536160 has 192 divisors, whose sum is σ = 79833600. Its totient is φ = 8128512.

The previous prime is 26536127. The next prime is 26536163. The reversal of 26536160 is 6163562.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26536163) 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 31 ways as a sum of consecutive naturals, for example, 617099 + ... + 617141.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^26536160 is an apocalyptic number.

26536160 is a gapful number since it is divisible by the number (20) 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 26536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

26536160 is an abundant number, since it is smaller than the sum of its proper divisors (53297440).

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

26536160 is a wasteful number, since it uses less digits than its factorization.

26536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 26536160 is about 5151.3260428748. The cubic root of 26536160 is about 298.2721415300.

The spelling of 26536160 in words is "twenty-six million, five hundred thirty-six thousand, one hundred sixty".