26042160 has 80 divisors (see below), whose sum is σ = 84994560. Its totient is φ = 6577920.

The previous prime is 26042153. The next prime is 26042197. The reversal of 26042160 is 6124062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 2^26042160 is an apocalyptic number.

26042160 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 26042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497280).

26042160 is an abundant number, since it is smaller than the sum of its proper divisors (58952400).

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

26042160 is a wasteful number, since it uses less digits than its factorization.

26042160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 26042160 is about 5103.1519671670. The cubic root of 26042160 is about 296.4096470787.

The spelling of 26042160 in words is "twenty-six million, forty-two thousand, one hundred sixty".