818560512 has 320 divisors, whose sum is σ = 3024806400. Its totient is φ = 212336640.

The previous prime is 818560499. The next prime is 818560517. The reversal of 818560512 is 215065818.

818560512 is a `hidden beast` number, since 8 + 1 + 85 + 60 + 512 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818560517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064064 + ... + 1064832.

It is an arithmetic number, because the mean of its divisors is an integer number (9452520).

Almost surely, 2^818560512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512403200).

818560512 is an abundant number, since it is smaller than the sum of its proper divisors (2206245888).

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

818560512 is a wasteful number, since it uses less digits than its factorization.

818560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 818560512 is about 28610.4965353627. The cubic root of 818560512 is about 935.4421396365.

The spelling of 818560512 in words is "eight hundred eighteen million, five hundred sixty thousand, five hundred twelve".