823992516 has 72 divisors (see below), whose sum is σ = 2265059160. Its totient is φ = 251513856.

The previous prime is 823992511. The next prime is 823992541. The reversal of 823992516 is 615299328.

Added to its reverse (615299328) it gives a square (1439291844 = 37938²).

823992516 is a `hidden beast` number, since 8 + 2 + 399 + 251 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 635040000 + 188952516 = 25200^2 + 13746^2 .

It is not an unprimeable number, because it can be changed into a prime (823992511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4450 + ... + 40838.

It is an arithmetic number, because the mean of its divisors is an integer number (31459155).

Almost surely, 2^823992516 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 823992516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132529580).

823992516 is an abundant number, since it is smaller than the sum of its proper divisors (1441066644).

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

823992516 is a wasteful number, since it uses less digits than its factorization.

823992516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36453 (or 36448 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 823992516 is about 28705.2698297717. The cubic root of 823992516 is about 937.5067912041.

Adding to 823992516 its reverse (615299328), we get a square (1439291844 = 37938²).

The spelling of 823992516 in words is "eight hundred twenty-three million, nine hundred ninety-two thousand, five hundred sixteen".