820290032 has 30 divisors (see below), whose sum is σ = 1659523992. Its totient is φ = 392049856.

The previous prime is 820290007. The next prime is 820290049. The reversal of 820290032 is 230092028.

It is a super-2 number, since 2×820290032² = 1345751473197122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820289983 and 820290010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 548678 + ... + 550170.

Almost surely, 2^820290032 is an apocalyptic number.

It is an amenable number.

820290032 is an abundant number, since it is smaller than the sum of its proper divisors (839233960).

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

820290032 is an equidigital number, since it uses as much as digits as its factorization.

820290032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 820290032 is about 28640.7058572236. The cubic root of 820290032 is about 936.1005017854.

The spelling of 820290032 in words is "eight hundred twenty million, two hundred ninety thousand, thirty-two".