816892160 has 288 divisors, whose sum is σ = 2458294272. Its totient is φ = 253624320.

The previous prime is 816892151. The next prime is 816892163. The reversal of 816892160 is 61298618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816892163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4721834 + ... + 4722006.

It is an arithmetic number, because the mean of its divisors is an integer number (8535744).

Almost surely, 2^816892160 is an apocalyptic number.

816892160 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 816892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229147136).

816892160 is an abundant number, since it is smaller than the sum of its proper divisors (1641402112).

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

816892160 is a wasteful number, since it uses less digits than its factorization.

816892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 816892160 is about 28581.3253716478. The cubic root of 816892160 is about 934.8061824804.

The spelling of 816892160 in words is "eight hundred sixteen million, eight hundred ninety-two thousand, one hundred sixty".