818882610 has 192 divisors, whose sum is σ = 2500025472. Its totient is φ = 170118144.

The previous prime is 818882569. The next prime is 818882611. The reversal of 818882610 is 16288818.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (818882611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1394737 + ... + 1395323.

It is an arithmetic number, because the mean of its divisors is an integer number (13020966).

Almost surely, 2^818882610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818882610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250012736).

818882610 is an abundant number, since it is smaller than the sum of its proper divisors (1681142862).

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

818882610 is a wasteful number, since it uses less digits than its factorization.

818882610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The square root of 818882610 is about 28616.1249997270. The cubic root of 818882610 is about 935.5648202554.

The spelling of 818882610 in words is "eight hundred eighteen million, eight hundred eighty-two thousand, six hundred ten".