812140560 has 640 divisors, whose sum is σ = 3685478400. Its totient is φ = 159252480.

The previous prime is 812140559. The next prime is 812140561. The reversal of 812140560 is 65041218.

812140560 is a `hidden beast` number, since 81 + 21 + 4 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (812140559) and next prime (812140561).

It is a super-2 number, since 2×812140560² = 1319144578394227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (812140561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3159952 + ... + 3160208.

It is an arithmetic number, because the mean of its divisors is an integer number (5758560).

Almost surely, 2^812140560 is an apocalyptic number.

812140560 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 812140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842739200).

812140560 is an abundant number, since it is smaller than the sum of its proper divisors (2873337840).

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

812140560 is a wasteful number, since it uses less digits than its factorization.

812140560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

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

The square root of 812140560 is about 28498.0799353220. The cubic root of 812140560 is about 932.9901674918.

Adding to 812140560 its reverse (65041218), we get a palindrome (877181778).

The spelling of 812140560 in words is "eight hundred twelve million, one hundred forty thousand, five hundred sixty".