818090496 has 320 divisors, whose sum is σ = 2639831040. Its totient is φ = 249384960.

The previous prime is 818090491. The next prime is 818090501. The reversal of 818090496 is 694090818.

818090496 is a `hidden beast` number, since 81 + 80 + 9 + 0 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (818090491) and next prime (818090501).

It is a super-3 number, since 3×818090496³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (818090491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9856471 + ... + 9856553.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2^818090496 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 818090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319915520).

818090496 is an abundant number, since it is smaller than the sum of its proper divisors (1821740544).

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

818090496 is a wasteful number, since it uses less digits than its factorization.

818090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 818090496 is about 28602.2813076160. The cubic root of 818090496 is about 935.2630622822.

The spelling of 818090496 in words is "eight hundred eighteen million, ninety thousand, four hundred ninety-six".