818882064 has 720 divisors, whose sum is σ = 3398353920. Its totient is φ = 177914880.

The previous prime is 818881997. The next prime is 818882069. The reversal of 818882064 is 460288818.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818882069) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35603557 + ... + 35603579.

It is an arithmetic number, because the mean of its divisors is an integer number (4719936).

Almost surely, 2^818882064 is an apocalyptic number.

818882064 is a gapful number since it is divisible by the number (84) 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 818882064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699176960).

818882064 is an abundant number, since it is smaller than the sum of its proper divisors (2579471856).

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

818882064 is a wasteful number, since it uses less digits than its factorization.

818882064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 818882064 is about 28616.1154596497. The cubic root of 818882064 is about 935.5646123223.

The spelling of 818882064 in words is "eight hundred eighteen million, eight hundred eighty-two thousand, sixty-four".