816940160 has 64 divisors (see below), whose sum is σ = 1957176000. Its totient is φ = 326077440.

The previous prime is 816940141. The next prime is 816940171. The reversal of 816940160 is 61049618.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 816940160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382295 + ... + 384425.

It is an arithmetic number, because the mean of its divisors is an integer number (30580875).

Almost surely, 2^816940160 is an apocalyptic number.

816940160 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 816940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978588000).

816940160 is an abundant number, since it is smaller than the sum of its proper divisors (1140235840).

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

816940160 is a wasteful number, since it uses less digits than its factorization.

816940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 816940160 is about 28582.1650684478. The cubic root of 816940160 is about 934.8244916364.

Adding to 816940160 its reverse (61049618), we get a palindrome (877989778).

The spelling of 816940160 in words is "eight hundred sixteen million, nine hundred forty thousand, one hundred sixty".