818932680 has 320 divisors, whose sum is σ = 2963822400. Its totient is φ = 202176000.

The previous prime is 818932663. The next prime is 818932693. The reversal of 818932680 is 86239818.

818932680 = 95² + 96² + ... + 1349².

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3262555 + ... + 3262805.

It is an arithmetic number, because the mean of its divisors is an integer number (9261945).

Almost surely, 2^818932680 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 818932680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481911200).

818932680 is an abundant number, since it is smaller than the sum of its proper divisors (2144889720).

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

818932680 is a wasteful number, since it uses less digits than its factorization.

818932680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

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

The square root of 818932680 is about 28616.9998427508. Note that the first 3 decimals coincide. The cubic root of 818932680 is about 935.5838880173.

The spelling of 818932680 in words is "eight hundred eighteen million, nine hundred thirty-two thousand, six hundred eighty".