811240560 has 360 divisors, whose sum is σ = 3026658960. Its totient is φ = 194568192.

The previous prime is 811240559. The next prime is 811240571. The reversal of 811240560 is 65042118.

811240560 is a `hidden beast` number, since 81 + 1 + 24 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×811240560² = 1316222492378227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7179064 + ... + 7179176.

It is an arithmetic number, because the mean of its divisors is an integer number (8407386).

Almost surely, 2^811240560 is an apocalyptic number.

811240560 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 811240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513329480).

811240560 is an abundant number, since it is smaller than the sum of its proper divisors (2215418400).

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

811240560 is a wasteful number, since it uses less digits than its factorization.

811240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 811240560 is about 28482.2850206931. The cubic root of 811240560 is about 932.6453989627.

Adding to 811240560 its reverse (65042118), we get a palindrome (876282678).

The spelling of 811240560 in words is "eight hundred eleven million, two hundred forty thousand, five hundred sixty".