816120 has 48 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 217536.

The previous prime is 816113. The next prime is 816121. The reversal of 816120 is 21618.

816120 = T₃₉₉ + T₄₀₀ + ... + T₄₀₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 816093 and 816102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 816120.

It is not an unprimeable number, because it can be changed into a prime (816121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 1493.

2⁸¹⁶¹²⁰ is an apocalyptic number.

It is an amenable number.

816120 is an abundant number, since it is smaller than the sum of its proper divisors (1837440).

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

816120 is a wasteful number, since it uses less digits than its factorization.

816120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 816120 is about 903.3936019255. The cubic root of 816120 is about 93.4511550570.

Adding to 816120 its reverse (21618), we get a palindrome (837738).

The spelling of 816120 in words is "eight hundred sixteen thousand, one hundred twenty".