818328960 has 512 divisors, whose sum is σ = 3172608000. Its totient is φ = 198696960.

The previous prime is 818328943. The next prime is 818328961. The reversal of 818328960 is 69823818.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818328961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11525725 + ... + 11525795.

It is an arithmetic number, because the mean of its divisors is an integer number (6196500).

Almost surely, 2^818328960 is an apocalyptic number.

818328960 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 818328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586304000).

818328960 is an abundant number, since it is smaller than the sum of its proper divisors (2354279040).

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

818328960 is a wasteful number, since it uses less digits than its factorization.

818328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 818328960 is about 28606.4496224191. The cubic root of 818328960 is about 935.3539262740.

The spelling of 818328960 in words is "eight hundred eighteen million, three hundred twenty-eight thousand, nine hundred sixty".