815842368 has 336 divisors, whose sum is σ = 2795869440. Its totient is φ = 233280000.

The previous prime is 815842343. The next prime is 815842373. The reversal of 815842368 is 863248518.

815842368 is a `hidden beast` number, since 8 + 1 + 584 + 2 + 3 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250243 + ... + 3250493.

It is an arithmetic number, because the mean of its divisors is an integer number (8321040).

Almost surely, 2^815842368 is an apocalyptic number.

815842368 is a gapful number since it is divisible by the number (88) 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 815842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397934720).

815842368 is an abundant number, since it is smaller than the sum of its proper divisors (1980027072).

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

815842368 is a wasteful number, since it uses less digits than its factorization.

815842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 815842368 is about 28562.9544690321. The cubic root of 815842368 is about 934.4055695311.

The spelling of 815842368 in words is "eight hundred fifteen million, eight hundred forty-two thousand, three hundred sixty-eight".