817120 has 24 divisors (see below), whose sum is σ = 1930824. Its totient is φ = 326784.

The previous prime is 817111. The next prime is 817123. The reversal of 817120 is 21718.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817123) by changing a digit.

817120 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 2394 + ... + 2713.

It is an arithmetic number, because the mean of its divisors is an integer number (80451).

2⁸¹⁷¹²⁰ is an apocalyptic number.

817120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

817120 is an abundant number, since it is smaller than the sum of its proper divisors (1113704).

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

817120 is a wasteful number, since it uses less digits than its factorization.

817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 817120 is about 903.9469010954. The cubic root of 817120 is about 93.4893083564.

Adding to 817120 its reverse (21718), we get a palindrome (838838).

The spelling of 817120 in words is "eight hundred seventeen thousand, one hundred twenty".