820810032 has 240 divisors, whose sum is σ = 2621475072. Its totient is φ = 216691200.

The previous prime is 820810027. The next prime is 820810043. The reversal of 820810032 is 230018028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 820809984 and 820810011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8126782 + ... + 8126882.

Almost surely, 2^820810032 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 820810032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310737536).

820810032 is an abundant number, since it is smaller than the sum of its proper divisors (1800665040).

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

820810032 is a wasteful number, since it uses less digits than its factorization.

820810032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 820810032 is about 28649.7824075507. The cubic root of 820810032 is about 936.2982649421.

The spelling of 820810032 in words is "eight hundred twenty million, eight hundred ten thousand, thirty-two".