26480160 has 288 divisors, whose sum is σ = 107557632. Its totient is φ = 5806080.

The previous prime is 26480159. The next prime is 26480171. The reversal of 26480160 is 6108462.

26480160 is a `hidden beast` number, since 2 + 648 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372925 + ... + 372995.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^26480160 is an apocalyptic number.

26480160 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 26480160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

26480160 is an abundant number, since it is smaller than the sum of its proper divisors (81077472).

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

26480160 is a wasteful number, since it uses less digits than its factorization.

26480160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26480160 is about 5145.8876785254. The cubic root of 26480160 is about 298.0621764171.

The spelling of 26480160 in words is "twenty-six million, four hundred eighty thousand, one hundred sixty".