817161120 has 144 divisors (see below), whose sum is σ = 2935427040. Its totient is φ = 206433792.

The previous prime is 817161091. The next prime is 817161127. The reversal of 817161120 is 21161718.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (817161127) 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 23 ways as a sum of consecutive naturals, for example, 12427 + ... + 42293.

It is an arithmetic number, because the mean of its divisors is an integer number (20384910).

Almost surely, 2^817161120 is an apocalyptic number.

817161120 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 817161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467713520).

817161120 is an abundant number, since it is smaller than the sum of its proper divisors (2118265920).

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

817161120 is a wasteful number, since it uses less digits than its factorization.

817161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29907 (or 29896 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 817161120 is about 28586.0301546052. The cubic root of 817161120 is about 934.9087655362.

It can be divided in two parts, 817161 and 120, that added together give a triangular number (817281 = T₁₂₇₈).

The spelling of 817161120 in words is "eight hundred seventeen million, one hundred sixty-one thousand, one hundred twenty".