820415232 has 486 divisors, whose sum is σ = 3048897852. Its totient is φ = 211341312.

The previous prime is 820415227. The next prime is 820415273. The reversal of 820415232 is 232514028.

It is a super-2 number, since 2×820415232² = 1346162305795227648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820415196 and 820415205.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 19079403 + ... + 19079445.

Almost surely, 2^820415232 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 820415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524448926).

820415232 is an abundant number, since it is smaller than the sum of its proper divisors (2228482620).

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

820415232 is a wasteful number, since it uses less digits than its factorization.

820415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 820415232 is about 28642.8914741511. The cubic root of 820415232 is about 936.1481247057.

It can be divided in two parts, 8204 and 15232, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 820415232 in words is "eight hundred twenty million, four hundred fifteen thousand, two hundred thirty-two".