816506120 has 32 divisors (see below), whose sum is σ = 1848424320. Its totient is φ = 324596160.

The previous prime is 816506087. The next prime is 816506123. The reversal of 816506120 is 21605618.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (816506123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56096 + ... + 69135.

It is an arithmetic number, because the mean of its divisors is an integer number (57763260).

Almost surely, 2^816506120 is an apocalyptic number.

It is an amenable number.

816506120 is an abundant number, since it is smaller than the sum of its proper divisors (1031918200).

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

816506120 is a wasteful number, since it uses less digits than its factorization.

816506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125405 (or 125401 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 816506120 is about 28574.5712128809. The cubic root of 816506120 is about 934.6589050072.

The spelling of 816506120 in words is "eight hundred sixteen million, five hundred six thousand, one hundred twenty".