816035220 has 432 divisors, whose sum is σ = 3388065408. Its totient is φ = 156280320.

The previous prime is 816035191. The next prime is 816035249. The reversal of 816035220 is 22530618.

816035220 is a `hidden beast` number, since 8 + 1 + 603 + 52 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (816035191) and next prime (816035249).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1260937 + ... + 1261583.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^816035220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816035220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694032704).

816035220 is an abundant number, since it is smaller than the sum of its proper divisors (2572030188).

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

816035220 is a wasteful number, since it uses less digits than its factorization.

816035220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 816035220 is about 28566.3301808265. The cubic root of 816035220 is about 934.4791898745.

Adding to 816035220 its reverse (22530618), we get a palindrome (838565838).

The spelling of 816035220 in words is "eight hundred sixteen million, thirty-five thousand, two hundred twenty".