818284896 has 384 divisors, whose sum is σ = 2895782400. Its totient is φ = 221460480.

The previous prime is 818284829. The next prime is 818284903. The reversal of 818284896 is 698482818.

818284896 is a `hidden beast` number, since 81 + 82 + 8 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4571335 + ... + 4571513.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^818284896 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 818284896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447891200).

818284896 is an abundant number, since it is smaller than the sum of its proper divisors (2077497504).

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

818284896 is a wasteful number, since it uses less digits than its factorization.

818284896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 818284896 is about 28605.6794360840. The cubic root of 818284896 is about 935.3371375182.

The spelling of 818284896 in words is "eight hundred eighteen million, two hundred eighty-four thousand, eight hundred ninety-six".