815410368 has 112 divisors (see below), whose sum is σ = 2433279360. Its totient is φ = 267708672.

The previous prime is 815410357. The next prime is 815410369. The reversal of 815410368 is 863014518.

815410368 is a `hidden beast` number, since 81 + 541 + 0 + 36 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (815410369) 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 15 ways as a sum of consecutive naturals, for example, 112255 + ... + 119297.

Almost surely, 2^815410368 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 815410368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216639680).

815410368 is an abundant number, since it is smaller than the sum of its proper divisors (1617868992).

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

815410368 is a wasteful number, since it uses less digits than its factorization.

815410368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 815410368 is about 28555.3912247758. The cubic root of 815410368 is about 934.2406134517.

The spelling of 815410368 in words is "eight hundred fifteen million, four hundred ten thousand, three hundred sixty-eight".