820996724 has 12 divisors (see below), whose sum is σ = 1437023364. Its totient is φ = 410418624.

The previous prime is 820996723. The next prime is 820996733. The reversal of 820996724 is 427699028.

It can be written as a sum of positive squares in 2 ways, for example, as 560174224 + 260822500 = 23668^2 + 16150^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820996723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7394 + ... + 41190.

It is an arithmetic number, because the mean of its divisors is an integer number (119751947).

Almost surely, 2^820996724 is an apocalyptic number.

It is an amenable number.

820996724 is a deficient number, since it is larger than the sum of its proper divisors (616026640).

820996724 is a wasteful number, since it uses less digits than its factorization.

820996724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39874 (or 39872 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 820996724 is about 28653.0403971376. The cubic root of 820996724 is about 936.3692461022.

The spelling of 820996724 in words is "eight hundred twenty million, nine hundred ninety-six thousand, seven hundred twenty-four".