816984960 has 256 divisors, whose sum is σ = 2876497920. Its totient is φ = 195584000.

The previous prime is 816984953. The next prime is 816984989. The reversal of 816984960 is 69489618.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2132929 + ... + 2133311.

It is an arithmetic number, because the mean of its divisors is an integer number (11236320).

Almost surely, 2^816984960 is an apocalyptic number.

816984960 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 816984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438248960).

816984960 is an abundant number, since it is smaller than the sum of its proper divisors (2059512960).

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

816984960 is a wasteful number, since it uses less digits than its factorization.

816984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 816984960 is about 28582.9487632050. The cubic root of 816984960 is about 934.8415795349.

The spelling of 816984960 in words is "eight hundred sixteen million, nine hundred eighty-four thousand, nine hundred sixty".