820499002596 has 675 divisors, whose sum is σ = 2744311460121. Its totient is φ = 213656159808.

The previous prime is 820499002567. The next prime is 820499002607. The reversal of 820499002596 is 695200994028.

It is a happy number.

The square root of 820499002596 is 905814.

It is a perfect power (a square), and thus also a powerful number.

820499002596 is a `hidden beast` number, since 8 + 2 + 0 + 49 + 9 + 0 + 0 + 2 + 596 = 666.

820499002596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 121375592100 + 699123410496 = 348390^2 + 836136^2 .

It is a super-2 number, since 2×820499002596² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 10386063285 + ... + 10386063363.

Almost surely, 2^820499002596 is an apocalyptic number.

820499002596 is the 905814-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820499002596

820499002596 is an abundant number, since it is smaller than the sum of its proper divisors (1923812457525).

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

820499002596 is an equidigital number, since it uses as much as digits as its factorization.

820499002596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 820499002596 in words is "eight hundred twenty billion, four hundred ninety-nine million, two thousand, five hundred ninety-six".