801106560 has 192 divisors, whose sum is σ = 2887073280. Its totient is φ = 204306432.

The previous prime is 801106529. The next prime is 801106567. The reversal of 801106560 is 65601108.

801106560 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (801106567) 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, 129457 + ... + 135503.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^801106560 is an apocalyptic number.

801106560 is a gapful number since it is divisible by the number (80) 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 801106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443536640).

801106560 is an abundant number, since it is smaller than the sum of its proper divisors (2085966720).

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

801106560 is a wasteful number, since it uses less digits than its factorization.

801106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 801106560 is about 28303.8258897980. The cubic root of 801106560 is about 928.7455859083.

Adding to 801106560 its reverse (65601108), we get a palindrome (866707668).

The spelling of 801106560 in words is "eight hundred one million, one hundred six thousand, five hundred sixty".