815518368 has 180 divisors, whose sum is σ = 2790429642. Its totient is φ = 232968960.

The previous prime is 815518351. The next prime is 815518391. The reversal of 815518368 is 863815518.

It can be written as a sum of positive squares in only one way, i.e., 754491024 + 61027344 = 27468^2 + 7812^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 123798 + ... + 130218.

Almost surely, 2^815518368 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 815518368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395214821).

815518368 is an abundant number, since it is smaller than the sum of its proper divisors (1974911274).

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

815518368 is a wasteful number, since it uses less digits than its factorization.

815518368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6433 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 815518368 is about 28557.2822236291. The cubic root of 815518368 is about 934.2818579325.

The spelling of 815518368 in words is "eight hundred fifteen million, five hundred eighteen thousand, three hundred sixty-eight".