818160640 has 176 divisors, whose sum is σ = 2181283200. Its totient is φ = 291962880.

The previous prime is 818160589. The next prime is 818160647. The reversal of 818160640 is 46061818.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 818160596 and 818160605.

It is not an unprimeable number, because it can be changed into a prime (818160647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111261 + ... + 4111459.

Almost surely, 2^818160640 is an apocalyptic number.

818160640 is a gapful number since it is divisible by the number (80) 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 818160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090641600).

818160640 is an abundant number, since it is smaller than the sum of its proper divisors (1363122560).

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

818160640 is a wasteful number, since it uses less digits than its factorization.

818160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 818160640 is about 28603.5074772308. The cubic root of 818160640 is about 935.2897916875.

The spelling of 818160640 in words is "eight hundred eighteen million, one hundred sixty thousand, six hundred forty".