815198496 has 192 divisors, whose sum is σ = 2628864000. Its totient is φ = 220485888.

The previous prime is 815198471. The next prime is 815198521. The reversal of 815198496 is 694891518.

It is an interprime number because it is at equal distance from previous prime (815198471) and next prime (815198521).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624981 + ... + 626283.

It is an arithmetic number, because the mean of its divisors is an integer number (13692000).

Almost surely, 2^815198496 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 815198496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314432000).

815198496 is an abundant number, since it is smaller than the sum of its proper divisors (1813665504).

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

815198496 is a wasteful number, since it uses less digits than its factorization.

815198496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1334 counting only the distinct ones).

The product of its digits is 622080, while the sum is 51.

The square root of 815198496 is about 28551.6811413969. The cubic root of 815198496 is about 934.1596903642.

The spelling of 815198496 in words is "eight hundred fifteen million, one hundred ninety-eight thousand, four hundred ninety-six".